The velocity of an object as a function of time is given by v(t) = 2.00 m/s + (3.00 m/s) t - (1.0 m/s2) t2. Determine the instantaneous acceleration of the object at time t = 4.00 s.

A) -2.00 m/s2 B) -5.00 m/s2 C) 1.00 m/s2 D) 0.00 m/s2 E) -1.00 m/s2 A) -2.00 m/s2 B) -5.00 m/s2 C) 1.00 m/s2 D) 0.00 m/s2 E) -1.00 m/s2

The velocity of an object is given by the expression v(t) = 3.00 m/s + (4.00 m/s3)t2, where t is in seconds. Determine the position of the object as a function of time if it is located at x = 1.00 m at time .

A) (4.00 m/s)t + 1.00 m B) (3.00 m/s)t + (1.33 m/s3)t3 C) (4.00 m/s)t D) 1.33 m E) 1.00 m + (3.00 m/s)t + (1.33 m/s3)t3 A) (4.00 m/s)t + 1.00 m B) (3.00 m/s)t + (1.33 m/s3)t3 C) (4.00 m/s)t D) 1.33 m E) 1.00 m + (3.00 m/s)t + (1.33 m/s3)t3

The acceleration of an object as a function of time is given by a(t) = (3.00 m/s3)t, where t is in seconds. If the object is at rest at time t = 0.00 s, what is the velocity of the object at time t = 6.00 s?

A) 18.0 m/s B) 54.0 m/s C) 0.00 m/s D) 15.0 m/s E) 108 m/s A) 18.0 m/s B) 54.0 m/s C) 0.00 m/s D) 15.0 m/s E) 108 m/s

Exam 2: Kinematics in One Dimension

A rock is thrown directly upward from the edge of the roof of a building that is 66.2 meters tall. The rock misses the building on its way down, and is observed to strike the ground 4.00 seconds after being thrown. Neglect any effects of air resistance. With what speed was the rock thrown?

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Question 41

Which one of the following graphs could possibly represent the vertical position as a function of time for an object in free fall?

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Question 42

The velocity of an object as a function of time is given by v(t) = 2.00 m/s + (3.00 m/s) t - (1.0 m/s²) t². Determine the instantaneous acceleration of the object at time t = 4.00 s.

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Question 43

A runner maintains constant acceleration after starting from rest as she runs a distance of 60.0 m. The runner's speed at the end of the 60.0 m is 9.00 m/s. How much time did it take the runner to complete the 60.0 m distance?

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Question 44

Two identical stones are dropped from rest and feel no air resistance as they fall. Stone A is dropped from height h, and stone B is dropped from height 2h. If stone A takes time t to reach the ground, stone B will take time

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Question 45

The figure shows the position of an object as a function of time. During the time interval from time and time (a) what is the length of the path the object followed? (b) what is the displacement of the object?

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Question 46

A ball rolls across a floor with an acceleration of 0.100 m/s² in a direction opposite to its velocity. The ball has a velocity of 4.00 m/s after rolling a distance 6.00 m across the floor. What was the initial speed of the ball?

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Question 47

A car accelerates from to at a rate of How far does the car travel while accelerating?

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Question 48

A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car. If the police car delays for 1.00 s before starting, what must be the magnitude of the constant acceleration of the police car to catch the speeding car after the police car travels a distance of 300 m?

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Question 49

When can we be certain that the average velocity of an object is always equal to its instantaneous velocity?

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Question 50

The velocity of an object is given by the expression v(t) = 3.00 m/s + (4.00 m/s³)t², where t is in seconds. Determine the position of the object as a function of time if it is located at x = 1.00 m at time .

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Question 51

The acceleration of an object as a function of time is given by a(t) = (3.00 m/s³)t, where t is in seconds. If the object is at rest at time t = 0.00 s, what is the velocity of the object at time t = 6.00 s?

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Question 52

The figure represents the velocity of a particle as it travels along the x-axis. At what value (or values) of t is the instantaneous acceleration equal to zero?

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Question 53

The position of an object as a function of time is given by x = - ct, where b = 2.0 m/ and and x and t are in SI units. What is the instantaneous velocity of the object when

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Question 54

A package is dropped from a helicopter moving upward at If it takes before the package strikes the ground, how high above the ground was the package when it was released if air resistance is negligible?

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Question 55

At the same moment from the top of a building 3.0 × 10² m tall, one rock is dropped and one is thrown downward with an initial velocity of . Both of them experience negligible air resistance. How much EARLIER does the thrown rock strike the ground?

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Question 56

To determine the height of a flagpole, Abby throws a ball straight up and times it. She sees that the ball goes by the top of the pole after 0.50 s and then reaches the top of the pole again after a total elapsed time of 4.1 s. How high is the pole above the point where the ball was launched? (You can ignore air resistance.)

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Question 57

A dragster starts from rest and travels 1/4 mi in 6.70 s with constant acceleration. What is its velocity when it crosses the finish line?

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Question 58

The figure shows the position of an object as a function of time, with all numbers accurate to two significant figures. Between time and time (a) what is the average speed of the object? (b) what is the average velocity of the object?

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Question 59

Showing 41 - 59 of 59

Exam 2: Kinematics in One Dimension

A rock is thrown directly upward from the edge of the roof of a building that is 66.2 meters tall. The rock misses the building on its way down, and is observed to strike the ground 4.00 seconds after being thrown. Neglect any effects of air resistance. With what speed was the rock thrown?

Which one of the following graphs could possibly represent the vertical position as a function of time for an object in free fall?

The velocity of an object as a function of time is given by v(t) = 2.00 m/s + (3.00 m/s) t - (1.0 m/s2) t2. Determine the instantaneous acceleration of the object at time t = 4.00 s.

A runner maintains constant acceleration after starting from rest as she runs a distance of 60.0 m. The runner's speed at the end of the 60.0 m is 9.00 m/s. How much time did it take the runner to complete the 60.0 m distance?

Two identical stones are dropped from rest and feel no air resistance as they fall. Stone A is dropped from height h, and stone B is dropped from height 2h. If stone A takes time t to reach the ground, stone B will take time

The figure shows the position of an object as a function of time. During the time interval from time and time (a) what is the length of the path the object followed? (b) what is the displacement of the object?

A ball rolls across a floor with an acceleration of 0.100 m/s2 in a direction opposite to its velocity. The ball has a velocity of 4.00 m/s after rolling a distance 6.00 m across the floor. What was the initial speed of the ball?

A car accelerates from to at a rate of How far does the car travel while accelerating?

A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car. If the police car delays for 1.00 s before starting, what must be the magnitude of the constant acceleration of the police car to catch the speeding car after the police car travels a distance of 300 m?

When can we be certain that the average velocity of an object is always equal to its instantaneous velocity?

The velocity of an object is given by the expression v(t) = 3.00 m/s + (4.00 m/s3)t2, where t is in seconds. Determine the position of the object as a function of time if it is located at x = 1.00 m at time .

The acceleration of an object as a function of time is given by a(t) = (3.00 m/s3)t, where t is in seconds. If the object is at rest at time t = 0.00 s, what is the velocity of the object at time t = 6.00 s?

The figure represents the velocity of a particle as it travels along the x-axis. At what value (or values) of t is the instantaneous acceleration equal to zero?

The position of an object as a function of time is given by x = - ct, where b = 2.0 m/ and and x and t are in SI units. What is the instantaneous velocity of the object when

A package is dropped from a helicopter moving upward at If it takes before the package strikes the ground, how high above the ground was the package when it was released if air resistance is negligible?

At the same moment from the top of a building 3.0 × 102 m tall, one rock is dropped and one is thrown downward with an initial velocity of . Both of them experience negligible air resistance. How much EARLIER does the thrown rock strike the ground?

A dragster starts from rest and travels 1/4 mi in 6.70 s with constant acceleration. What is its velocity when it crosses the finish line?

The figure shows the position of an object as a function of time, with all numbers accurate to two significant figures. Between time and time (a) what is the average speed of the object? (b) what is the average velocity of the object?

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The velocity of an object as a function of time is given by v(t) = 2.00 m/s + (3.00 m/s) t - (1.0 m/s²) t². Determine the instantaneous acceleration of the object at time t = 4.00 s.

A ball rolls across a floor with an acceleration of 0.100 m/s² in a direction opposite to its velocity. The ball has a velocity of 4.00 m/s after rolling a distance 6.00 m across the floor. What was the initial speed of the ball?

The velocity of an object is given by the expression v(t) = 3.00 m/s + (4.00 m/s³)t², where t is in seconds. Determine the position of the object as a function of time if it is located at x = 1.00 m at time .

The acceleration of an object as a function of time is given by a(t) = (3.00 m/s³)t, where t is in seconds. If the object is at rest at time t = 0.00 s, what is the velocity of the object at time t = 6.00 s?

At the same moment from the top of a building 3.0 × 10² m tall, one rock is dropped and one is thrown downward with an initial velocity of . Both of them experience negligible air resistance. How much EARLIER does the thrown rock strike the ground?