# 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

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1. ## Physics HELP!

The position of an object connected to a spring varies with time according to the expression x = (7.1 cm) sin (2.1π t). Find (a) the period of this motion (b) the frequency of the motion (c) the amplitude of the motion (d) the first time after t=0 that

2. ## physics

For the next part, you will need to know that the position d of an object attached to a spring that oscillates with period T=1.0s is a sinusoidal function of time: d=kcos(2πt)d=kcos(2πt) for some constant k. Assume that the initial position of the object

3. ## Physics

The position of a particular particle as a function of time is given by r = ( 9.60ti + 8.85j - 1.00t^2 k)m, where t is in seconds. a) Determine the particle's velocity as a function of time. b) Determine the particle's acceleration as a function of time.

4. ## 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 =

5. ## Calculus

An object has a constant acceleration of 72 feet per second squared, an initial velocity of 17 feet per second, and an initial position of 10 feet. Find the position function describing the motion of this object.

6. ## calculus

Suppose the following about a certain object: I. The object's altitude is a function of time, represented by the function A(x) where here x is time. II. The temperature of the object is a function of its velocity, represented by the function T(x), where

7. ## trig

An object suspended from a spring is oscillating up and down. The distance from the high point to the low point is 30 cm, and the objects take 4 sec to complete 5 cycles.For the first few cycles the distance from the mean position, d(t), in cm with respect

8. ## 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

9. ## physics

An object is moving along a straight line. The graph shows the object's velocity as a function of time. . What is the acceleration of the object in the interval from t = 5 s to t = 6 s?

10. ## Calculus

An object has a constant acceleration of 40 ft/sec^2, an initial velocity of −20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object.

11. ## Physics

The position of an object as a function of time is given as x = At3 + Bt2 + Ct + D. The constants are A = 3.2 m/s3, B = 1.8 m/s2, C = −4.2 m/s, and D = 7 m. At what time(s) is the object at rest?

12. ## physics

An object moves along a straight line and the velocity as a function of time is presented by the above graph. a. Find the acceleration of the object for the time intervals: 0-5 s, 5 s- 10 s, 10 s-15 s, 15 s – 20 s, 20 s – 25 s, and 25 s – 30 s. b.

13. ## 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

14. ## physics

The position versus time for a certain object moving along the x-axis is shown. The object’s initial position is −2 m. Find the instantaneous velocity at 6 s. Answer in units of m/s

15. ## calculus

The position function for a particular object is s = â€“23t^2 + 65. Which of the following statements is true? The initial position is 23 The initial velocity is 0 The velocity at time t = 1 is 42 None of these

16. ## physics

What equation gives the position as a function of time for an object with constant acceleration?

17. ## Calc 1

Consider the position function s(t)=sin((pi)(t)) representing the position of an object moving along a line on the end of a spring. Sketch a graph of s with the secant line passing through (0,s(0)) and (0.5,s(0.5)). Determine the slope of the secant line

18. ## Calculus AP Exam review explanation pls

1) The average value of the function g(x) = 3^cos x on the closed interval [ − pi , 0 ] is: 2)The change in the momentum of an object (Δ p) is given by the force, F, acting on the object multiplied by the time interval that the force was acting: Δ p =

19. ## 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

20. ## math

the position of an object moving in a straight line is given by s=tsquared-8t, where s is in feet and t is the time in seconds the object has been in motion. how long(to the nearest tenth)will it take the object to move 10 feet?

21. ## 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.

22. ## 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

23. ## 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

24. ## 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

25. ## physics

The coordinates of an object moving in the xy plane vary with time according to the equations x = -6.85 sin ωt and y = 4.00 - 6.85 cos ωt, where ω is a constant, x and y are in meters, and t is in seconds. a. Determine the components of the velocity of

26. ## 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

27. ## 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

28. ## math

The position of an object moving in a straight line is given by the function , where s(t) represents distance traveled and t represents the time the object has been in motion. How long (to the nearest tenth) will it take the object to move 17 meters?

29. ## 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?

An object has a constant acceleration of 30 ft/sec2, an initial velocity of −10 ft/sec, and an initial position of 4 ft. Find the position function, s(t), describing the motion of the object. s(t)=4-10t+15^2

31. ## Calculus

An object has a constant acceleration of 40 ft/sec2, an initial velocity of -20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object.

32. ## 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

33. ## 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

34. ## calc

An object has a constant acceleration of 30 ft/sec2, an initial velocity of −10 ft/sec, and an initial position of 4 ft. Find the position function, s(t), describing the motion of the object.

35. ## science

the ratio of velocities of two object a and b is 1:3. if the position-time graph of object a is inclined to time axis at 30degree then the position-time graph of object b is inclined to time axis at

36. ## 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.

37. ## physics

The displacement of a block of mass 778g attached to a spring whose spring constant is 38N/m is given by x=Asin(ωt) where A=25cm. In the first complete cycle find the values of x and t at which the kinetic energy is equal to one half the potential energy.

38. ## physics

Suppose the volume V of some object hap- pens to depend on time t according to the equation V (t) = At3+B/t , where A and B are constants. Let L and T denote dimensions of length and time, respectively. What is the dimension of the constant A? 1. L2/T 2.

39. ## calculus

From the top of a 225 meter building, an object is thrown upwards at an initial speed of 16.7 m/s. Neglecting air resistance: a) Determine the function of the object's velocity. Would it be: V = Vo - g*t? b) Determine the function for the position of the

40. ## Integration

The velocity v(t) = x'(t) at time t of an object moving along the x axis is given, along with the initial position x(0) of the object. In each case, find: 5) x'(t) = 1/((2t + 1)^(1/2)); x(0) = 0 a) the position x(t) at time t I found that x(t) = (2t +

41. ## physics

An object has the following equation of motion (equation describing its position as a function of time). x(t) = x0 where x0 = −2.3 m. What is the object’s position at time t = 23 s? What is its velocity?

42. ## 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

43. ## Physics

A single force acts on a 1.1 kg particle-like object in such a way that the position of the object as a function of time is given by x = 4.1t - 3.6t2 + 4.5t3, with x in meters and t in seconds. Find the work done on the object by the force from t = 0 to t

44. ## Physics

At time t=0 an object of mass 50.34 g on the end of a horizontal spring is moving to the right at 10 cm/s and is displaced 2 cm to the left from the equilibrium position. If the spring constant is 0.234N/m, find an expression for the position of the

45. ## Physics

At time an object of mass 50.34 g on the end of a horizontal spring is moving to the right at 10 cm/s and is displaced 2 cm to the left from the equilibrium position. If the spring constant is 0.234N/m, find an expression for the position of the particle

46. ## Physics

At time an object of mass 50.34 g on the end of a horizontal spring is moving to the right at 10 cm/s and is displaced 2 cm to the left from the equilibrium position. If the spring constant is 0.234N/m, find an expression for the position of the particle

47. ## 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

48. ## 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

49. ## 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

50. ## 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

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

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

53. ## physics

A block attached to a spring is displaced from equilibrium to the position x=+0.5m and released. The period is 2.1s . At what positions and times during the first complete cycle do the following conditions occur. a) |v|=0.5vmax, Where vmax is the maximum

54. ## -MATH-

h=-16t2+80t+96 Use this position polynomial to calculate the following: 1.The height of the object after 2 seconds 2.The height of the object after 4 seconds 3.How long the object will take to reach the ground? 4.Write the position function for an object

55. ## Physics/Math

A single force acts on a 5.0 kg particle-like object in such a way that the position of the object as a function of time is given by x = 3.0t - 4.0t 2 + 1.0t 3, with x in meters and t in seconds. Find the work done on the object by the force from t = 0 to

56. ## Physics

A block attached to a spring is displaced from equilibrium to the position x=+2.8m and released. The period is 1.6s . At what positions and times during the first complete cycle do the following conditions occur. a) |v|=0.5vmax, Where vmax is the maximum

57. ## 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.

58. ## Calculus

An object is traveling along the x axis so that its speed is given by v(t)=t^2-7t+10 m/s. (a) Find the times when the object is at rest. (b) Find the acceleration at both of these times. Interpret the acceleration in terms of the motion of the object, ie

59. ## math

Suppose that the position y (feet) of a projectile above the ground is described by the equation y=-16t^2+70t+2, where t is the time elapsed (seconds) since the object was launched. (A) What is the initial position of the object? (B) When will the object

60. ## Calculus

An object is traveling along the x axis so that its speed is given by v(t)=t^2-7t+10 m/s. (a) Find the times when the object is at rest. (b) Find the acceleration at both of these times. Interpret the acceleration in terms of the motion of the object, ie

61. ## Physics

In a 1-dimensional problem, a single force acts on a 10 kg object and is given the equation F=ax+b where a=250 N/m, b=25 N, x is position of object. There is a force acting on the object while that object moves from x=0 to x=2 lasting 3 sec. 1) What is the

62. ## Math Methods

Time–lapse photography is used to track the height of an object in metres. The following heights were recorded at times 0.2s, 1.2s and 2.1s respectively: 9.203m, 14.344m and 10.591m. a) Determine an equation to model the height of the object over time,

63. ## 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.

64. ## MATH

Suppose an object moves along the x-axis so that its position at time $t$ is $x=-t+\frac{t^3}{6}$. (a) Find the velocity, $v(t)=x(t)$, of the object. (b) What is $v(0)$? What does this say about the direction of motion of the object at time $t=0$? (c) When

65. ## Algebra

"The table shows how far Object 1 traveled as a function of time. ___________________________________ Time (sec)| Distance Traveled (ft) x | y ___________________________________ 2 | 18 4 | 36 6 | 54 8 | 72 ___________________________________ The equation

66. ## college physics

The position of an object changes with time according to the expression x(t) = 5t62 = 3t - 1. What is the position of the object when its velocity is 11 m/s?

67. ## college physics

The position of an object changes with time according to the expression x(t) = 5t62 = 3t - 1. What is the position of the object when its velocity is 11 m/s?

68. ## Physics

The position of an object changes with time according to the expression x(t) = 5t62 = 3t - 1. What is the position of the object when its velocity is 11 m/s?

69. ## college phyics

The position of an object changes with time according to the expression x(t) = 5t62 = 3t - 1. What is the position of the object when its velocity is 11 m/s?

70. ## Physics

A 2.00-kg object is hanging on a 1.1m string. The object is pulled 20cm away from the equilibrium position and held there. a) What is the pulling force in the string when the object is kept still ? b) Now the object is released, what is the speed of the

71. ## Velocity

Which of these statements are true... I think (1)and (5) are correct 1)A reversing vehicle must have negative velocity 2) A stationary object must have zero position 3)Two vehicles trvelling at the same speed at the same instant of time on the same road

72. ## Maths/Physics

Which of these statements are true... I think (1)and (5) are correct 1)A reversing vehicle must have negative velocity 2) A stationary object must have zero position 3)Two vehicles trvelling at the same speed at the same instant of time on the same road

73. ## Physics

This question has to do with kinematics graphing. I CAN NOT REPRODUCE THE GRAPH BUT hope that some help can be given to me with this question. The position versus time for a certain object moving along the x-axis. The object's initial position is -2 m.

74. ## Re: Physics/Math

A single force acts on a 5.0 kg particle-like object in such a way that the position of the object as a function of time is given by x = 3.0t - 4.0t 2 + 1.0t 3, with x in meters and t in seconds. Find the work done on the object by the force from t = 0 to

75. ## physics

An object is being thrown upward at 50m How long does it take the object to reach maximum height? What is the maximum height of the object? How much time does it take for the audit to return to its original position? What is the velocity of the object when

76. ## calculus

An object has a constant acceleration of 40 ft/sec^2, an initial velocity of −20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object.

77. ## Physics

The force on an object is described as a function of time equation: F(t) = 3t^2+7t What is the impulse delievered by the force over a period of time from 0 to 5.0s? What is the average force exerted on an object over this time period? If the object has a

78. ## Physics

Could someone show me how to work this? It's for a study guide I'm practicing, and I just can't seem to get the correct answer. The position of a 0.63 kg object attached to a spring is described by [x = (1.09 m) cos(3.11πt)] a) Find the object’s

79. ## physics!!

The figure below shows the acceleration as a function of time for an object. (a) If the object starts from rest at t = 0, what is the velocity of the object as a function of time? for 0s < t < 10s v(t) = m/s for 10s < t < 26s v(t) = m/s (b) If the object

80. ## physics!!

The figure below shows the acceleration as a function of time for an object. (a) If the object starts from rest at t = 0, what is the velocity of the object as a function of time? for 0s < t < 10s v(t) = m/s for 10s < t < 26s v(t) = m/s (b) If the object

81. ## 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

82. ## physics (Kinematics)

A motorist drives north for 35.0 s at 25.0 m/s and then stops for 23.0 s. He then continues north traveling 13.0 m in 2.00 s. (a) What is his total displacement? (b) What is his average velocity (magnitude and direction)? I am just clueless on this one. I

83. ## 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

84. ## 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

85. ## 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

86. ## chabot college

Consider the position function s(t)=sin((pi)(t)) representing the position of an object moving along a line on the end of a spring. Sketch a graph of s with the secant line passing through (0,s(0)) and (0.5,s(0.5)). Determine the slope of the secant line

87. ## physics

The acceleration of a certain particle is a function of time: a(t) = pt^2-qt^3, where p and q are constants. Initially, the velocity and position of the particle are zero. (a) What is the velocity as a function of time? (b) What is the position as a

88. ## Calculus

I am stuck on both of these questions. Would you please tell me if my reasoning is correct? 1. An object is dropped off a building. When comparing the average velocity of the object over equal time intervals, explain the difference between early time

89. ## Calculus

An object's movement has a velocity given by v(t) = t^2-5t+5 A) What is the position function for the particle at any time t≥0? For this section I calculated the anti derivative, which is \frac{1}{3}t^3-\frac{5}{2}t^2+5t+C (At least I think it is) And

90. ## Algebra

Can someone help me? Do I subtract 17 on both sides and then............ The position of an object moving in a straight line is given by s=2t^2-3t, where s is in meters and t is the time in seconds the object has been in motion. How long (nearest tenth)

91. ## 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)

92. ## 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)

93. ## Math

Starting with the kinematics equation x = vot + ½ at^2, derive an expresion relating the acceleration and initial velocity of an object to two paired position and time measurements. In other words, if an object's position is x1 at t1, find the

94. ## Algebra HELP!

Starting with the kinematics equation x = vot + ½ at^2, derive an expresion relating the acceleration and initial velocity of an object to two paired position and time measurements. In other words, if an object's position is x1 at t1, find the

95. ## Physics

write a general equation describing the position at any time of an object starting from some position x0 moving with velocity v.

96. ## Physics

an object moves from the position (1,3,-5) to the position (-1,4,8) during time 8 s. what is the average speed?

97. ## Physics

An object moves from the position (1,3,-5) to position (-1,4,8) during time 8 s. what is the average velocity?

98. ## Physics

Each crate moves from position 1, to position 2 to position 3. All of the crates are identical. the coordinate values given are in meters. Rank A through F in order from least to greatest, on the basis of the displacement from the position 1. If any crates

99. ## Physics/Math

A single force acts on a 5.0 kg particle-like object in such a way that the position of the object as a function of time is given by x = 3.0t - 4.0t 2 + 1.0t 3, with x in meters and t in seconds. Find the work done on the object by the force from t = 0 to

100. ## Physics

Starting with the kinematics equation x = vot + ½ at^2, derive an expression relating the acceleration and initial velocity of an object to two paired position and time measurements. In other words, if an object's position is x1 at t1, find the