# Let v(t)=t^2−3t be the velocity, in feet per second, of an object at time t , in seconds. (c) What is the meaning of the quantity v(4)? Select all that apply if more than one statement is correct. A. In

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1. ## calculus help check and help

if an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account is v= mg/c(1-e^(-ct/m)) where g is the acceleration due to gravity and c is a positive constant describing air resistance. a)

2. ## Algebra

THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the time in seconds sine the

3. ## Algebra

THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the time in seconds sine the

4. ## Math HELP!

The formula v= square root 64h can be used to find the velocity, v, in feet per second, of an object that has fallen h feet. Find the velocity of an object that has fallen 75 feet. Round to the nearest tenth. A. 6.9 ft/s B. 69.2 ft/s C. 69.4 ft/s D. 69.3

5. ## Maths

object thrown upward from an initial height of h0 feet with an initial velocity of v0 (in feet per second) is given by the formula h(t)=−16t^2+v0t+h0 feet where t is the amount of time in seconds after the ball was thrown. Also, the velocity of the

6. ## College Algebra

Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t represents the time (in

7. ## Science ( physics )

A balloon is rising with a velocity of 4.9 m/sec releases an object from height of 96 m. a) How long after its release will the object reach the ground? b) what is the velocity of the object as it hits the ground? The object has in intial vertical

8. ## algebra

An object that is projected straight downward with initial velocity v feet per second travels a distance s vt 16t 2 =+ , where t =time in seconds. If Ramón is standing on a balcony 84 feet above the ground and throws a penny straight down with an initial

9. ## 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

10. ## Algebra

An object is thrown downward with an initial velocity of 4 feet per second. The relationship between the distance s it travels and time t is given by s = 4t + 16t2. How long does it take the object to fall 72 feet?

11. ## Math : Statistics

The formula h=vt−16t^2 gives the height h, in feet, of an object projected into the air with an initial vertical velocity v, in feet per second, after t seconds. If an object is projected upward with an initial velocity of 112 feet per second, at what

12. ## 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

13. ## mathematics algebra

Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t represents the time (in

14. ## math

an object is launched from ground level with an initial velocity of 400 feet per second. To the nearest tenth off a second, how long does it take the object to reach a height off 650 feet?

15. ## math

An object that is falling or vertically projected into the air has it height, in feet, above the ground given by the formula below, where s is the height in feet, Vo is the original velocity of the object, in feet per second, t is the time the object is in

16. ## Physics

I don't understand this at all! use the position equation s=-16t^2 +v0t+s0 to write a function that represents the situation. Find the average rate of change from t1 to t2. a) An object is thrown upward from a height of 6 feet at a velocity of 64 feet per

17. ## Applied Calculus

If an object is launched straight up into the air from a starting height of h_{0} feet, then the height of the object after t seconds is approximately h=-16t^2+v_{0}t+h_{0} feet, where v_{0} is the initial velocity of the object. Find the starting height

18. ## 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

19. ## Math

If an object is launched straight up into the air from a starting height of h_{0} feet, then the height of the object after t seconds is approximately h=-16t^2+v_{0}t+h_{0} feet, where v_{0} is the initial velocity of the object. Find the starting height

20. ## AP Calculus AB

For an object whose velocity in ft/sec is given by v(t) = -t^2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 6 secs? -36 36 0 55.596 For an object whose velocity in ft/sec is given by v(t) = -2t^2 + 4, what is its distance travelled,

21. ## Math

In physics, one learns that the height of an object thrown upward from an initial height of h0 feet with an initial velocity of v0 (in feet per second) is given by the formula h(t)=−16t^2+v0t+h0 feet where t is the amount of time in seconds after the

22. ## 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

23. ## AP Calculus AB

2. For an object whose velocity in ft/sec is given by v(t) = -t^2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 3 secs? 3. Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) -

24. ## Math

An object is launched upward from the ground with an initial vertical velocity of 40 feet per second. After how many seconds does the object reach a height of 25 feet?

25. ## College Algebra

If an object is propelled upward from a height of s feet at an initial velocity of v feet per​ second, then its height h after t seconds is given by the equation hequals minus16t squaredplusvtplus​s, where h is in feet. If the object is propelled from

26. ## Calculus - Falling Body Problem

Near the surface of the earth, the acceleration of a falling body due to gravity is 32 feet per second per second, provided that air resistance is neglected. If an object is thrown upward from and initial height of 3000 feet with a velocity of 75 feet per

27. ## Math

The velocity of an object is given by the formula v=25t-80, where the time is expressed in seconds and the velocity is expressed in feet per second. Find the times when the magnitude of the velocity is equal to 60 ft/s

28. ## Math Help

Let v(t)=t^2−3t be the velocity, in feet per second, of an object at time t , in seconds. (c) What is the meaning of the quantity v(4)? Select all that apply if more than one statement is correct. A. In how many seconds will the object have moved 4 ft.

29. ## algebra

An object is released into the air at an initial height of 6 feet and an initial velocity of 30 feet per second. The object is caught at a height of 7 feet. Use the vertical motion model, h = -16t^2+vt+s, where h in the height, t is the time in motion, s

30. ## calculus

The distance (in feet) of an object from a point is given by s(t)=3t2−5, where t is in seconds. Round your answer to two decimal places. 1. What is the average velocity of the object between t=1 and t=8.5? 2. By using smaller and smaller intervals around

31. ## Math

An object is thrown upward from the top of a 160-foot building with an initial velocity of 144 feet per second. The height, h, of the object after t seconds is given by the equation h=-16t^2+144t+160. When will the object hit the ground? The object will

32. ## MATH

The height h in feet of an object after t seconds is given by the function h=-16t^2+60t+9.... How long will it take the object to hit the ground? Round your answer to the nearest thousandth.... when it hits the ground, h is zero. So you have a quadratic

33. ## 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

34. ## 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

35. ## Pre-Calc

The path of an object projected at a 45-degree angle with an initial velocity of 60 feet per second is given by the function h(x) = -32/((60)^2)x^2 + x, where x is the horizontal distance traveled in feet and h(x) is the object's height in feet. Use a

36. ## physics

an object accelerates uniformly along a straight line from a velocity of 10ms-1 until 25ms-1 in 5s. a)the velocity of the object during the first 10s of motion b)the time taken to reach a final velocity 50ms-1

37. ## Calculus the derivative

The height in feet of a free falling object t seconds after release is s(t)=-16t^2+ v_0t+s_0, where s_0 is the height(in feet) at which the object is realsed, and v_0 is the initial velocity (in feet per second). Suppose the coin is dropped from a height

38. ## college algebra

The height of an object thrown upward with an initial velocity of 96 feet per second is given by the formula h = -16t2 + 96t, where t is the time in seconds. How long will it take the object to reach a height of 144 feet?

39. ## 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

40. ## Algebra

The distance traveled by an object moving in a straight line is given by s = t2 − 2t, 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 48 feet?

41. ## Math

The velocity of an object is given by the formula v=25t-80, where the time is expressed in seconds and the velocity is expressed in feet per second. Find the times when the magnitude of the velocity is equal to 60 ft/s. (3 marks)

42. ## Math

Can someone check my answers when a skydiver jumps from an airplane, the distance d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t2. the formula assumes that there is no air resistance. find the time it

43. ## algebra

y=(v/u)x+(g)/(2(u^2))*x^2 where y is the object's vertical distance (in feet) above from where it was thrown x is the object's horizontal distance (in feet) away from where it was thrown and u is the objects' initial horizontal velocity v is the object's

44. ## College Algebre

Here is the math problem: The height of an object in free fall, or otherwise thrown into the air near the earth's surface, with initial vertical velocity v0 in feet per seconds, and from the initial height h0 in feet, at any given time t in seconds is

45. ## 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

46. ## math

Baseball Nick throws a baseball upward with an initial velocity of 60 feet per second. What is the maximum height of the ball after Nick releases the ball? Formula for the problem - h(t)=v0t-16t^2, h(t)= the height of an object in feet, v0=an object's

47. ## algebra

An object that is projected straight downward with initial velocity v feet per second travels a distance s vt 16t 2 =+ , where t =time in seconds. If Ramón is standing on a balcony 84 feet above the ground and throws a penny straight down with an initial

48. ## 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

49. ## 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?

50. ## algebra

An object is thrown straight up into the air at an initial vertical velocity of 32 feet per second from an initial height of 128 feet and is represented by the vertical motion model, h(t) = -16t^2 + 32t + 128. How much time does it take for the object to

51. ## PHYSICS MAT

A 1.2 kg object moving at initial velocity 2.0m/s collides elastically with a stationary 0.5kg object horizontally. Calculate A) the velocity of each object after the collision. B) the impulsive force if the contact time is 0.3 s.

52. ## 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

53. ## 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

54. ## Physic Check

These are questions I'm unsure about out of 20 for my submission #2. Someone please check soon. My answers have an =. 1.)A ball is rolling across the top of a billiard table and slowly rolls to a stop. How would Galileo explain the motion of the ball as it

55. ## Sam E

Let v(t)=t^2−3t be the velocity, in feet per second, of an object at time t , in seconds. (c) What is the meaning of the quantity v(4)? Select all that apply if more than one statement is correct. A. In how many seconds will the object have moved 4 ft.

56. ## math

using this information: if an object is thrown straight up into the air from the height H feet per second then at time tseconds the height of the object is -16.1t^2 +Vt+ H feet. This formula uses only gravitational force, ignoring air friction. It is valid

57. ## math

using this information: if an object is thrown straight up into the air from the height H feet per second then at time tseconds the height of the object is -16.1t^2 +Vt+ H feet. This formula uses only gravitational force, ignoring air friction. It is valid

58. ## Phsyics

An object is moving along the x direction with a velocity (in mks units) given by vx = 3 t^4 − 12 t^3 + 12 t^2 + v0x Answer the following. (a) At what three times is the object moving with a constant velocity? (b) Find the velocity of the object in terms

59. ## math

The height of an object thrown upward with an initial velocity of 96 feet per second is given by the formula h = -16t2 + 96t, where t is the time in seconds. How long will it take the object to reach a height of 144 feet?

60. ## Calculus/math

The distance (in feet) of an object from a point is given by s(t)=3t^(2)−5, where t is in seconds. Round your answer to two decimal places. 1. What is the average velocity of the object between t=1 and t=8.5? 2. By using smaller and smaller intervals

61. ## 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

62. ## Math

The velocity (feet per second) of an object is given by the equation v = 3(2t + 1)0.4. What is the equation for the acceleration of the object? What is the equation for the displacement of the object? The displacement is initially 25 feet. What are the

63. ## Math 160

The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of

64. ## 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

65. ## Math

Can someone check my answers when a skydiver jumps from an airplane, the distance d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t2. the formula assumes that there is no air resistance. find the time it

66. ## algebra

the formula v=64h can be used to find the velocity,v,in feet per second,of an object that has fallen h feet.find the velocity of an object that has fallen 75 feet.round to the nearest tenth

67. ## Physics

One object is thrown straight up at 54.9 m/s from the ground at the base of a building with is 157.9 meters tall. At the same time the object is thrown up at the bottom of the building, another object is thrown straight down at the top of the building. If

68. ## 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

69. ## Physics

A 5.57-kg object passes through the origin at time t = 0 such that its x component of velocity is 5.25 m/s and its y component of velocity is -3.15 m/s. (a) What is the kinetic energy of the object at this time? (b) At a later time t = 2.00 s, the particle

70. ## Physics

(a) At a certain instant, a particle-like object is acted on by a force F = (3.0 N) - (1.0 N) + (8.0 N) while the object's velocity is v = - (2.0 m/s) + (4.0 m/s) . What is the instantaneous rate at which the force does work on the object? W (b) At some

71. ## True & False explanations Physics

When a projectile is fired at 45 deg. angle and is in free fall, the only point along the path that the acceleration of the object is zero is the instant when the object is at the highest point of its path. Answer: False Can someone explain how? 2.) An

72. ## math

Could someone please show me how to do these problems? or just show me how to do 1 or 2? I would really appreciate any help you could give... There are examples in my lesson but I don't understand them, here are the examples~~ EXAMPLE~ Solve 3(x – 2) + 4

73. ## math. can someone explain this!

using this information: if an object is thrown straight up into the air from the height H feet per second then at time tseconds the height of the object is -16.1t^2 +Vt+ H feet. This formula uses only gravitational force, ignoring air friction. It is valid

74. ## Calculus

The velocity of an object is given by v(t)=t(t^2-1)^(1/3) feet per second. Find the total number of feet traveled by the object in the time interval [0,3] seconds. (A)51/4 (B)34/3 (C)45/4 (D)51/8 (E)45/8

75. ## Math

The time a object is in freed all is given by the formula t= v/2g where v is the final velocity, g is the gravitational constant of 32 ft/ sec squared, and t is for time of the fall. A sky diver jumps out of a plane at 6000 feet. How long did it take to

76. ## Calculus the derivative

Can you please check my answers and help me fix the one I don't or or did wron . The height in feet of a free falling object t seconds after release is s(t)=-16t^2+ v_0t+s_0, where s_0 is the height(in feet) at which the object is realsed, and v_0 is the

77. ## College Algebra

Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t represents the time (in

78. ## algebra1 HELP PLEASE Thanks you!!

The formula y=square root 64h can be used to find the velocity v in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 25 feet. Round your answer to the nearest tenth.

79. ## math

galileo showed that objects of different weights fall at the same velocity by dropping 2 objects of different weight form the top of the leaning tower of pisa. a model for the heigh h in feet of an object dropped from an initial h0 feet is h=16t^2+h0,

80. ## Applied Calculus

If an object is launched straight up into the air from a starting height of h_{0} feet, then the height of the object after t seconds is approximately h=-16t^2+v_{0}t+h_{0} feet, where v_{0} is the initial velocity of the object. Find the starting height

81. ## 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

82. ## 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

83. ## Math

If h(t) represents the height of an object in feet above ground level at time t and h(t) is given by h(t)=−16t^(2)+14t+10 find the height of the object at the time when the speed is zero. The height of the object is h(t)= ___ feet.

84. ## Physics

Two objects are moving in the xy-plane. No external forces are acting on the objects. Object A has a mass of 3.2 kg and has a velocity of Va= (2.3 m/s)i + (4.2m/s)j and object B has a mass of 2.9 kg and has a velocity of Vb= (-1.8m/s)i + (2.7m/s)j. Some

85. ## Physics

Two objects are moving in the xy-plane. No external forces are acting on the objects. Object A has a mass of 3.2 kg and has a velocity of Va= (2.3 m/s)i + (4.2m/s)j and object B has a mass of 2.9 kg and has a velocity of Vb= (-1.8m/s)i + (2.7m/s)j. Some

86. ## Physics

(a) At a certain instant, a particle-like object is acted on by a force F=(2.9N)i-(1.7N)j+(5.7N)k while the object's velocity is v= -(3.2m/s)i+(4.5m/s)k. What is the instantaneous rate at which the force does work on the object? (b) At some other time, the

87. ## 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

88. ## physics

Question: Object A is moving at a maximum speed of 6m/s towards Object B. At 50 m away Object B accelerates from the approaching Object A at 0.3m/s^2. Does Object A catch up to Object B and if yes when? I don't know how to answer this at all or even which

89. ## physics

(a)At a certain instant, a particle-like object is acted on by a force F = (4.0 N)i - (2.0 N)j + (9.0 N)k while the object's velocity is v = - (2.0 m/s)i + (4.0 m/s)k . What is the instantaneous rate at which the force does work on the object? (b)At some

90. ## Physics

At a certain instant, a particle-like object is acted on by a force F = (4.0 N) - (2.0 N) + (9.0 N) while the object's velocity is v = - (2.0 m/s) + (4.0 m/s) . What is the instantaneous rate at which the force does work on the object? At some other time,

91. ## 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

92. ## Physics/Math

At a certain instant, a particle-like object is acted on by a force F = (3.0 N) i - (1.0 N) j + (8.0 N) k while the object's velocity is v = - (2.0 m/s) i + (4.0 m/s) k. What is the instantaneous rate at which the force does work on the object? (b) At some

93. ## algebra

We can determine the time it would take an object to fall (if there were no air resistance) by using the formula where d is the distance. A. How long does it take a quarter dropped from a 35 foot roof to reach the ground? B. If there are 5,280 feet in one

94. ## Calculus

The velocity of an object is given by v(t)=t(t^2-1)^(1/3) feet per second. Find the total number of feet traveled by the object in the time interval [0,3] seconds. I understand how to solve the problem, but I do not understand why is the interval now from

95. ## 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?

96. ## physic PLEASE I REALLY NEED HELP WITH THIS PROBLEM

The formula y=square root 64h can be used to find the velocity v in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 25 feet. Round your answer to the nearest tenth.

97. ## Calculus

The vertical position of an object is modeled by the function h(t)=-16t^2 +5t+7, where h is measured in feet and t is measured in seconds. Find the object's initial velocity (that is, the velocity at t=0). Is it 5 feet per second?

98. ## 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