# Suppose the position of an object is given by ->r(vector) = (3.0t^2*ihat - 6.0t^3*jhat)m. Where t in seconds. Determine its velocity ->v as a function of time t. Determine its acceleration ->a as a function of time t. Determine ->r

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1. ### Physics-calc

Suppose the position of an object is given by ->r(vector) = (3.0t^2*ihat - 6.0t^3*jhat)m. Where t in seconds. Determine its velocity ->v as a function of time t. Determine its acceleration ->a as a function of time t. Determine ->r at time t = 2.5 s. Determine ->...
2. ### Physics urgent help needed!

Suppose the position of an object is given by ->r(vector) = (3.0t^2*ihat - 6.0t^3*jhat)m. Where t in seconds. Determine its velocity ->v as a function of time t. Determine its acceleration ->a as a function of time t. Determine ->r at time t = 2.5 s. Determine ->...
3. ### Repost physics

Suppose the position of an object is given by ->r(vector) = (3.0t^2*ihat - 6.0t^3*jhat)m. Where t in seconds. Determine its velocity ->v as a function of time t. Determine its acceleration ->a as a function of time t. Determine ->r at time t = 2.5 s. Determine ->...
4. ### physics

At the instant the displacement of a 2.00 kg object relative to the origin is d = (2.00 m) ihat + (4.00 m) jhat - (3.00 m) khat, its velocity is v = - (6.20 m/s) ihat + (2.70 m/s) jhat + (2.60 m/s) khat, and it is subject to a force F = (6.00 N) ihat - (7.70 N) jhat + (4.10 N...
5. ### physics

A particle moves through an xyz coordinate system while a force acts on it. When the particle has the position vector vector r = (2.00 m)ihat - (3.00 m)jhat + (2.00 m)khat, the force is vector F = Fxihat + (7.00 N)jhat - (5.30 N)khat and the corresponding torque about the ...
6. ### physics

A particle moves through an xyz coordinate system while a force acts on it. When the particle has the position vector vector r = (2.00 m)ihat - (3.00 m)jhat + (2.00 m)khat, the force is vector F = Fxihat + (7.00 N)jhat - (5.30 N)khat and the corresponding torque about the ...
7. ### phys

At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the xy plane with an acceleration ->a = (4.0ihat+ 3.0jhat)m/s^2. Assume t is in seconds. Determine the position of the particle as a function of time t. Express your answer in terms of the unit vectors ihat ...
8. ### physics

At a certain instant, a particle-like object is acted on by a force F = (4.0 N) ihat - (3.0 N) jhat + (9.0 N) khat while the object's velocity is v = - (2.0 m/s) ihat + (4.0 m/s) khat. What is the instantaneous rate at which the force does work on the object? W (b) At some ...
9. ### physics

At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the xy plane with an acceleration ->a (vector) = (4.0ihat+ 3.0jhat)m/s^2. Assume t is in seconds. Determine the x component of velocity as a function of time t. Determine the y component of velocity as a ...
10. ### physics

The coordinates of an object moving in the xy plane vary with time according to the equations x = −6.85 sin ùt and y = 4.00 − 6.85 cos ùt, where ù is a constant, x and y are in meters, and t is in seconds. (a) Determine the components of velocity of the object ...
11. ### physics

The acceleration of a particle moving only on a horizontal plane is given by a= 3ti +4tj, where a is in meters per second-squared and t is in seconds. At t = 0s, the position vector r= (20.0 m)i + (40.0 m)j locates the particle, which then has the velocity vector v= (5.000 m/s...
12. ### physics

The acceleration of a particle moving only on a horizontal plane is given by a= 3ti +4tj, where a is in meters per second-squared and t is in seconds. At t = 0s, the position vector r= (20.0 m)i + (40.0 m)j locates the particle, which then has the velocity vector v= (5.000 m/s...
13. ### PHysics

A 3.00 kg object has a velocity (5.20 ihat - 2.40 jhat) m/s. (Note: From the definition of the dot product, v2 = vvec·vvec.) (a) What is its kinetic energy at this time? Could some one just please show me how to convert the velocity vector into the "regular" form? Thank You
14. ### Calculus

Suppose you throw an object from a great height, so that it reaches very nearly terminal velocity by time it hits the ground. By measuring the impact, you determine that this terminal velocity is -49 m/sec. A. Write the equation representing the velocity v(t) of the object at ...
15. ### Physics

A particle is in uniform circular motion about the origin of an xy coordinate system, moving clockwise with a period of 3.50 s. At one instant, its position vector (from the origin) is r = (8.00 m) ihat - (7.00 m) jhat. At that instant, what is its velocity in unit-vector ...
16. ### physics

In this problem you will determine the average velocity of a moving object from the graph of its position as a function of time . A traveling object might move at different speeds and in different directions during an interval of time, but if we ask at what constant velocity ...
17. ### Calculus

Let f be the function given by f(t) = 2ðt + sin(2ðt) a) Find the value of t in the open interval (0,20 for which the line tangent at (t, f(t)) is parallel to the line through (0,0) and (2,4ð) b) Suppose the given function describes the position of a particle on the x-axis ...
18. ### Physics

A particle starts from the origin with velocity 2i m/s at t = 0 and moves in the xy plane with a varying acceleration given by 2 (sq root t) where is in meters per second squared and t is in seconds. (a) Determine the velocity of the particle as a function of time. So I ...
19. ### Physics-can anyone check my work?

A particle starts from the origin with velocity 2i m/s at t = 0 and moves in the xy plane with a varying acceleration given by 2 (sq root t) where is in meters per second squared and t is in seconds. (a) Determine the velocity of the particle as a function of time. So I ...
20. ### phyics

Consulting the graph shown in (Figure 1) , determine the object's average velocity over the time interval from 2 to 4 seconds. Express your answer in meters per second to the nearest integer. Position versus time graph for an object traveling with a non-constant velocity. The ...
21. ### college Physics

The coordinates of an object moving in the xy plane vary with time according to the following equations x = −7.16 sin ùt and y = 4.00 − 7.16 cos ùt, where ù is a constant, x and y are in meters, and t is in seconds. Write expressions for the position vector, the...
22. ### phyics

Consulting the graph shown in (Figure 1) , determine the object's average velocity over the time interval from 2 to 4 seconds. Express your answer in meters per second to the nearest integer. Position versus time graph for an object traveling with a non-constant velocity. The ...
23. ### physics

an object's acceleration is given by the function a= 2/v^2, determine an expression for the velocity of the object as a function of time. (at t= 0, v=0)
24. ### physics

an object's acceleration is given by the function a= 2/v^2, determine an expression for the velocity of the object as a function of time. (at t= 0, v=0)
25. ### Physics

The velocity vefot of a ball is v(t)=-3x+4y at any time. Its initial position is r=12x-4y. The components of the velocity vector are in m/s and the components of the position vector are in meters. The symbols x and y are the unit vetors in x and y directions respectively. Find...

An object on Earth falls with an acceleration of a=9.81 m/s^2. A function exists between the height from which the object falls, the initial velocity of the object and the time the object spends in the air. h(t)= Vt + at^2 V=initial velocity. T= time. A= acceleration due to ...
27. ### Calculus

A particle moves along a horizontal line so that at any time t its position is given by x(t)=cost-t. Time is measured in seconds and x is measured in meters. a.) Find the velocity as a function t. Use your answer to determine the velocity of the particle when t=pi/6 seconds. ...
28. ### physics

Let ->V1= -6.1 ihat + 8.0 jhat and ->V2 = -4.8 jhat + 4.2 ihat. Determine the direction of ->V1 counterclockwise from the +x direction Determine the direction of ->V2 counterclockwise from the +x direction
29. ### Physics

A particle moves in the xy plane with constant acceleration. At time zero, the particle is at x = 6.0 m, y = 3.0 m, and has velocity v = 4.0 m/s + -1.0 m/s . The acceleration is given by the vector a = 4.0 m/s2 + 0 m/s2 . (a) Find the velocity vector at t = 3.0 s. ?( m/s...
30. ### Physics

In the time interval from 0.0 s to 10.1 s, the acceleration of a particle traveling in a straight line is given by ax = (0.1 m/s3)t. Let to the right be the +x direction. The particle initially has a velocity to the right of 10.0 m/s and is located 5.4 m to the left of the ...
31. ### Calculus

Suppose a certain object moves in a straight line with velocity v(t)= -2+t+3sin(pi t) where v is in meters per second and t is in seconds. Determine the net change in distance of the object from time t=0 to time t=6 seconds and find the object's average velocity on this ...
32. ### physics

The position of a particle moving along an x axis is given by x = 15t2 - 2.0t3, where x is in meters and t is in seconds. (a) Determine the position, velocity, and acceleration of the particle at t = 3.0 s. x = m v = m/s a = m/s2 (b) What is the maximum positive coordinate ...
33. ### math(mechanics)

the acceleration of a particle as it moves along a straight line is given by a=(2t-1)m/s^2, where t is in seconds.if s=1m and v= 2m/s when t=0,determine the particles velocity and position when t=6s. Also, determine the total distance the particle travels during this time period.
34. ### Dynamics

The acceleration of a particle moving along a straight line is inversely proportional to its speed with the constant of porpotionality being k. The body starts from the position s = x0 ^i with initial speed v0. Determine the velocity of the particle as a function of time t. ...
35. ### Physics

Automotive engineers refer to the time rate of change of acceleration as the "jerk." Assume an object moves in one dimension such that its jerk J is constant. (a) Determine expressions for its acceleration ax(t), velocity vx(t), and position x(t), given that its initial ...
36. ### physics

Given the graph below with the initial velocity, vi = -8 m/s, the object starts with one value of constant acceleration and stops at 2.3 seconds. Then, the value of its acceleration changes to a different acceleration. Finally, at t1 = 6.8 seconds, it travels at a constant (...
37. ### Physics

The acceleration of a particle moving only on a horizontal xy plane is given by , where is in meters per second-squared and t is in seconds. At t = 0, the position vector locates the paticle, which then has the velocity vector . At t = 3.60 s, what are (a) its position vector ...
38. ### physics

The vector position of a particle varies in time according to the expression r with arrow = 6.60 i − 9.00t2 j where r with arrow is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol ...
39. ### physics

The position of an object as a function of time is given as x = At3 + Bt2 + Ct + D. The constants are A = 2.3m/s3, B = 1.8m/s2, C = −4.3m/s, and D = 2 m.(a) What is the velocity of the object at t = 12s? (b) What is the acceleration of the object at t = 0.5s?
40. ### mitx 8.01x Classical Mechanics

An object is moving along a straight line parallel to the x-axis. Its position as a function of time is given by: x(t)=30 m−21 (ms) t+3 (ms2) t2 where the position x is in (m) and the time t is in (s). (a) What is the object's velocity at t=0 s, 2 s, and 5 s? (enter the ...
41. ### Calculus

1) A particle is moving along the x-axis so that its position at t ≥ 0 is given by s(t) = (t)In(2t). Find the acceleration of the particle when the velocity is first zero. 2) The driver of a car traveling at 50 ft/sec suddenly applies the brakes. The position of the car is s...
42. ### Math

The acceleration a(t) of a moving object is given by the derivative of the velocity function v(t). Find the acceleration of the object at time t=5 seconds if v(t)=12tsquared+8t meters per second. Thanks for any help.
43. ### Calculus (Motion with Vector functions)

For the position function r(t)= (2+t^2,3t), determine the approximate angle between the acceleration and velocity vectors at (3,3). a)45.7 b)56.3 c)71.7 d)44.9 e)58.2
44. ### Calculus

Use the position function s(t)=-4.9t^2+ 150, which gives the height (in meters) of an object that has fallen from 150 meters. Teh velocity at time t=a seconds is given by: lim as t approaches a s(a)-s(t) divided by a-t a) find the velocity of the object when t=3 b) at what ...
45. ### Physics

The acceleration of a particle moving only on a horizontal xy plane is given by a=5ti+6tj, where a is in meters per second-squared and t is in seconds. At t=0, the position vector r=(19.0m)i+(39.0m)j locates the particle, which then has the velocity vector v=(5.70m/s)i+(3.40m/...
46. ### physics

If d1 = 7 ihat - 2 jhat + 4 khat and d2 = -5 ihat + 2 jhat - khat, then what is (d1 + d2)·(d1 multiplied by 6 d2)?
47. ### precalc

An object is attached to a coiled spring. The object is pulled down (from its rest position) and then released. Given that the distance from its rest position at time t = 0 is 3 inches, its amplitude is 3 inches, and its period is 1.5 seconds, write an equation for the ...
48. ### amet

PART A 1. The acceleration of a body along a straight line is given by (a = 2 (ms-3) t -10 (ms-2). Initial position is 1.8 m and initial velocity is 15 ms-1. Determine the position of the particle, the total distance travelled and the velocity after 12 seconds of start.
49. ### Terminal Velocity

How can u determine that a falling object has reached terminal velocity from a velocity time graph of its motion? u can determine if a falling object has reached terminal velocity from a velocity-time graph of its motion by its stop of acceleration. The falling object no ...
50. ### Physics

The position of an object as a function of time is r⃗ =(3.2t+ 1.8 t2)i^+(1.7t− 2.4 t2)j^m, where t is the time in seconds. Find the object’s magnitude of the acceleration. What is the direction of the acceleration?
51. ### Calculus-derivatives

Explain how to do these questions~ 1. An object moves in a straight line with its position at time t seconds given by s(t) = 3-2t+t^2, where s is the measured in metres. At what time is the object not moving? 2. Determine the coordinates of the point(s) on the graph of y=3x- 1...
52. ### Maths (Calculus)

The motion of a particle performing damped oscillations is given by the formula y = e-t sin2t Where y - displacement from its mean position and t - time in seconds (a)determine the time at which the velocity of the particle is 0 (b)Determine if the displacement of the particle...
53. ### Physics

The vector position of a 3.45 g particle moving in the xy plane varies in time according to 1 = 3 + 3t + 2t2 where t is in seconds and is in centimeters. At the same time, the vector position of a 5.00 g particle varies as 2 = 3 − 2t2 − 6t. Determine the vector ...
54. ### Physics

The vector position of a 3.45 g particle moving in the xy plane varies in time according to 1 = 3 + 3t + 2t2 where t is in seconds and is in centimeters. At the same time, the vector position of a 5.00 g particle varies as 2 = 3 − 2t2 − 6t. Determine the vector ...
55. ### Physics

The vector position of a 3.45 g particle moving in the xy plane varies in time according to 1 = 3 + 3t + 2t2 where t is in seconds and is in centimeters. At the same time, the vector position of a 5.00 g particle varies as 2 = 3 − 2t2 − 6t. Determine the vector ...
56. ### Physics

The vector position of a 3.45 g particle moving in the xy plane varies in time according to 1 = 3 + 3t + 2t2 where t is in seconds and is in centimeters. At the same time, the vector position of a 5.00 g particle varies as 2 = 3 − 2t2 − 6t. Determine the vector ...
57. ### PHYSICS

The position of a particle moving on a smooth horizontal floor is given as a function of time according to the equation x=ut+1/2at^2. At time t=0, the particle has the velocity u. Obtain an expression for the velocity as the function of time. Hence, find the value of this ...
58. ### Physics

Suppose the position of an object at time t is (6 + 5t, 2t2, 7t − 5t3). (a) What is the instantaneous velocity at time t? (b) What is the acceleration at time t? (c) What is the instantaneous velocity at time t = 0? (d) What is the acceleration at time t = 0? I know that...
59. ### Physics

The acceleration of a particle moving only on a horizontal xy plane is given by a=5ti+6tj, where a is in meters per second-squared and t is in seconds. At t=0, the position vector r=(19.0m)i+(39.0m)j locates the particle, which then has the velocity vector v=(5.70m/s)i+(3.40m/...
60. ### calculus

the vector function r(t)=< 5 sin t, 3 sec t > , represents the position of a particle at time t. find the velocity v (t) and acceleration a (t). I don't know how to solve it without the t given. Please help
61. ### Physics

At t = 0, a 785 g mass at rest on the end of a horizontal spring (k = 125 N/m) is struck by a hammer, which gives the mass an initial speed of 2.70 m/s. (a) Determine the period of the motion. T= .4979201367s Determine the frequency of the motion. f= 2.008354 Hz (b) Determine ...
62. ### physics

The position of an object as a function of time is given by x = At2 – Bt + C, where A = 7.3 m/s2, B = 5.8 m/s, and C = 4.5 m. Find the instantaneous velocity and acceleration as functions of time. (Use the following as necessary: t.) help!!!!!!!!! thank you!!
63. ### Applied Calculus

Suppose that an object is thrown down towards the ground from the top of the 1100-ft tall Sears Tower with an initial velocity of – 20 feet per second (the negative velocity indicates that the object is moving towards the ground). Given that the acceleration due to gravity ...
64. ### physics

A student observes an airplane fly overhead with a constant velocity parallel to the x-axis at a height of 7.60 × 103 m. At time t = 0 the airplane is directly above the student, the vector P~ o = 7.60 × 103ˆj m describes the position on the airplane with respect to the ...
65. ### Physics

The velocity of an object in simple harmonic motion is given by v(t)= -(0.275 m/s)sin(23.0t + 2.00π), where t is in seconds. 1) What is the first time after t=0.00 s at which the velocity is -0.100 m/s? 2) What is the object's position at that time? I tried solving for ...
66. ### science

The speed of a bullet as it travels down the barrel of a rifle toward the opening is given by v = (-4.25 10^7) t^2 + (3.45 10^5) t, where v is in meters per second and t is in seconds. The acceleration of the bullet just as it leaves the barrel is zero. (a) Determine the ...
67. ### Calculus

The position of a particle, s metres from the starting point, after t seconds, is defined by the function s(t) = 2t^3 - 7t^2 + 4 a) determine the velocity of the particle after t seconds b) determine the velocity after 5 seconds
68. ### Math

The location of an object on the x-axis at time t seconds is given by x(t)= a + mt, where a, m are constants. (a) Where is the object located at time t=1? x(1)= a+m(1) = a+m (b) What is the average velocity of the object between 1 and 2 seconds? x(2)-x(1)/(2-1) a+2m-(a+m)=m (c...
69. ### Calculus Pre Test Monday Part 3

The height, in metres, of an object that has fallen from a height of 180 m is given by the position function s(t)=-􏰀5t^2 􏰂+180, where t 􏰃>0 and t is in seconds. a. Find the average velocity during each of the first two seconds. b. Find the ...
70. ### Physics

A potential energy function for a two-dimensional force is of the form U = 3 x^(4)y - 8 x. Find the force that acts at the point (x, y). (Use x and y as appropriate.) I know its something about partial derivatives but I'm not sure how to go about it. And the answer has to be ...
71. ### Calculus

The position, p(t), of an object at time t is given. Find the instantaneous velocity at the indicated time c. Also determine whether it is moving forward, backward, or neither at time c. p(t)=2-1/t at c=3
72. ### calculus 3

A ball is thrown northward into the air from the origin in three dimensional space ( the xy plane is the ground, the positive y-axis points north, positive x-axis is east and the positive z – axis is height above the ground ). The initial velocity of the ball is V0 = < 0,...
73. ### physics

The speed of a bullet as it travels down the barrel of a rifle toward the opening is given by v = (-4.25 107) t 2 + (3.45 105) t, where v is in meters per second and t is in seconds. The acceleration of the bullet just as it leaves the barrel is zero. (a) Determine the ...
74. ### Math

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be moving to the ...
75. ### physics

An object moves to the right according to the equation x = 4t2 + 3t + 16 where x is in meters and t is in seconds. Determine the object's average velocity between time t = 0 and time t = 4 seconds.
76. ### Physics

A car starts from rest and accelerates at a rate of 1 m/s^2 until it reaches a velocity of 7 m/s. It then travels at a constant velocity for the next 15 seconds. The driver then applies the brake, bringing the car to stop. The brakes provide an acceleration of -4 m/s^2. a) ...
77. ### Calculus

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be moving to the ...

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be moving to the ...
79. ### Big MATH Help needed

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be moving to the ...

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be moving to the ...
81. ### Physics

A particle initially located at the origin has an acceleration of a= 5.00J^ m/s^2 and an initial velocity of v0= 8.00I^ m/s A) Find the vector position at any time t where t is measured in seconds. Find the vector velocity at any time t. b) Find the coordinates of the particle...
82. ### Physics

You have a mass of 2 kg attached to a spring with a spring constant 18 N/m. The mass is at rest at the equilibrium position. At time t=0 you hit the object with a hammer. This blow instantaneously gives the object a velocity of 3 m/s. The motion (after the blow) is described ...
83. ### Math

The acceleration of an object g = -9.8 m/s^2. From the top of a building of 245 m., an object is thrown upwards at an initial velocity of 12m/s (a) What is the function for the velocity of the object? I put vf^2 = Vi^2 + 2a(yf-yi) vf^2 = 216.09 + 19.6 (yf - 245) (b) Determine ...
84. ### math

The acceleration am/s^2 of a particle moving in a straight line is given by a = 18t – 4, where t is time in seconds. The initial velocity of the particle is 2 m/s a) Find the expression for velocity in terms of t b) Determine the time when the velocity is again 2m/s
85. ### calculus

after t seconds the position of a particle which is moving along a straight line is x=2t^3-9t^2+12t+6, when is the acceleration zero? determine the velocity at that time.
86. ### Physics

A rabbit runs in a garden such that the x- and y-components of its displacement as function of times are given by x(t) = −0.44t2 − 6.0t + 73 and y(t)= 0.35t2 + 8.3t + 34. (Both x and y are in meters and t is in seconds.) (a) Calculate the rabbit's position (...
87. ### Physics

An object moving with uniform acceleration has a velocity of 13.0 cm/s in the positive x-direction when its x-coordinate is 2.73 cm. If its x-coordinate 2.95 s later is −5.00 cm, what is its acceleration? cm/s^2 Express the position of the object in one-dimensional motion at...
88. ### Calculus

Suppose that an object moves along an s-axis so that its location is given by s(t)=t^2+4t at time t.(Here is in meters and is in seconds.) (a) Find the average velocity of the object in meters per second over the time interval t=2 to t=9 seconds. Average velocity = ? m/s. (b) ...
89. ### Calculus

The velocity of an object is given by the velocity function v(t)=t/42. If the object is at the origin at time t=0, find the position at time t=20.
90. ### Math

an object is moving along the x-axis such that the position of the object in masters at time t in seconds is giving by the function x(t)=t^3-12t^2+36t-5, for 0<=t<=8 a- when is the object moving right? and when to the left? b- When is the object's velocity both positive ...
91. ### Physics

1. What is indicated by a velocity-time graph that crosses the x-axis? 2. How can you tell by looking at a position-time graph whether or not the object was changing speed? 3. How can you tell by looking at a velocity-time graph whether or not the object was changing speed? 4...
92. ### Physics

An object at rest accelerates through a distance of 1.5 m at which point the instantaneous velocity of the object is 3.5m/s. Determine: a. The average acceleration of the object b. The time it took the object to travel 1.5m c. The average velocity of the object during this ...
93. ### Physics

A motorcyclist who is moving along an x-axis has an acceleration given by a=(6.47-2.15t) for 0 >= t <= 6.0 s, where a is in m/s2 and t is in seconds. At t = 0, the velocity and position of the cyclist are 3.20 m/s and 7.30 m. For the time interval from 0 >= t <= 6....
94. ### Physics

The position of a particle is given by the function x = ( 6 t^3 - 3 t^2 + 2) m, where t is in s. (a) At what time or times is vx = 0 m/s? (Enter NONE for t2 if there is only one time.) Smaller time, t1 = Larger time, t2 = (b) What are the particle's position and its ...
95. ### Calculus

I don't understand what the graph is suppose to show and what the integral equation is suppose to mean. How would I use the graph to answer the questions? f is the differentiable function whose graph is shown in the figure. The position at time t (sec) of a particle moving ...
96. ### physics

an object moving on the x axis with a constant acceleration increases its x coordinate by 108 m in a time of 9.5 s and has a velocity of 20 m/s at the end of this time. Determine the acceleration of the object during this motion?
97. ### math

Suppose that an object attached to a coiled spring is pulled down a distance of 5 inches from its rest position and then released. If the time for one oscillation is 3 seconds, write and equation that relates the displacement d of the object from its rest position after time t...
98. ### Physics

An object is observed for a 5 second interval. During this time, the objects velocity increases from 2 m/s to a final velocity and the object travels 75 m. The acceleration of the object is constant. Given this information, which of the following statements is not correct? a)...
99. ### Algebra

If an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by: h=-16t^2+vt+s(where h and s are in ft, t is in seconds and v is in ft/sec) a ball is thrown upward with initial velocity of 96 ft/sec...
100. ### Algebra 2

If an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by: h=-16t^2+vt+s(where h and s are in ft, t is in seconds and v is in ft/sec) a ball is thrown upward with initial velocity of 96 ft/sec...