The position of a particle as it moves along the x axis is given by x = 15e−2t m,where t is in s.What is the acceleration of the particle at t = 1.0 s?

A) 22 m/s B) 60 m/s C) 8.1 m/s D) 15 m/s E) 35 m/s A) 22 m/s B) 60 m/s C) 8.1 m/s D) 15 m/s E) 35 m/s

A particle moving along the x axis has a position given by x = 54t − 2.0t3 m.At the time t = 3.0 s,the speed of the particle is zero.Which statement is correct?

A) The particle remains at rest after t = 3.0 s. B) The particle no longer accelerates after t = 3.0 s. C) The particle can be found at positions x < 0 m only when t < 0 s. D) All of the above are correct. E) None of the above is correct. A) The particle remains at rest after t = 3.0 s. B) The particle no longer accelerates after t = 3.0 s. C) The particle can be found at positions x < 0 m only when t < 0 s. D) All of the above are correct. E) None of the above is correct.

A toy rocket,launched from the ground,rises vertically with an acceleration of 20 m/s2 for 6.0 s until its motor stops.Disregarding any air resistance,what maximum height above the ground will the rocket achieve?

A) 1.1 km B) 0.73 km C) 1.9 km D) 0.39 km E) 1.5 km A) 1.1 km B) 0.73 km C) 1.9 km D) 0.39 km E) 1.5 km

A proton moving along the x axis has an initial velocity of 4.0 × 106 m/s and a constant acceleration of 6.0 × 1012 m/s2.What is the velocity of the proton after it has traveled a distance of 80 cm?

A) 5.1 × 106 m/s B) 6.3 × 106 m/s C) 4.8 × 106 m/s D) 3.9 × 106 m/s E) 2.9 × 106 m/s A) 5.1 × 106 m/s B) 6.3 × 106 m/s C) 4.8 × 106 m/s D) 3.9 × 106 m/s E) 2.9 × 106 m/s

Exam 2: Motion in One Dimension

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Two children start at one end of a street,the origin,run to the other end,then head back.On the way back Joan is ahead of Mike.Which statement is correct about the distances run and the displacements from the origin?

(Multiple Choice)

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Question 21

An object is thrown downward with an initial (t = 0)speed of 10 m/s from a height of 60 m above the ground.At the same instant (t = 0),a second object is propelled vertically upward from ground level with a speed of 40 m/s.At what height above the ground will the two objects pass each other?

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Question 22

A stone is thrown from the top of a building with an initial velocity of 20 m/s downward.The top of the building is 60 m above the ground.How much time elapses between the instant of release and the instant of impact with the ground?

(Multiple Choice)

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Question 23

A ball is thrown vertically upward with an initial speed of 20 m/s.Two seconds later,a stone is thrown vertically (from the same initial height as the ball)with an initial speed of 24 m/s.At what height above the release point will the ball and stone pass each other?

(Multiple Choice)

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Question 24

The position of a particle as it moves along the x axis is given by x = 15e−²^t m,where t is in s.What is the acceleration of the particle at t = 1.0 s?

(Multiple Choice)

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Question 25

A particle moving along the x axis has a position given by x = 54t − 2.0t³ m.At the time t = 3.0 s,the speed of the particle is zero.Which statement is correct?

(Multiple Choice)

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Question 26

V_x is the velocity of a particle moving along the x axis as shown.If x = 2.0 m at t = 1.0 s,what is the position of the particle at t = 6.0 s?

(Multiple Choice)

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Question 27

A toy rocket,launched from the ground,rises vertically with an acceleration of 20 m/s² for 6.0 s until its motor stops.Disregarding any air resistance,what maximum height above the ground will the rocket achieve?

(Multiple Choice)

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Question 28

A proton moving along the x axis has an initial velocity of 4.0 × 10⁶ m/s and a constant acceleration of 6.0 × 10¹² m/s².What is the velocity of the proton after it has traveled a distance of 80 cm?

(Multiple Choice)

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Question 29

The graph below shows the velocity versus time graph for a ball.Which explanation best fits the motion of the ball as shown by the graph?

(Multiple Choice)

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Question 30

A bullet is fired through a board,14.0 cm thick,with its line of motion perpendicular to the face of the board.If it enters with a speed of 450 m/s and emerges with a speed of 220 m/s,what is the bullet's acceleration as it passes through the board?

(Multiple Choice)

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Question 31

A rock is thrown downward from an unknown height above the ground with an initial speed of 10 m/s.It strikes the ground 3.0 s later.Determine the initial height of the rock above the ground.

(Multiple Choice)

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Question 32

A particle is moving at constant velocity.Its position at t = 1.0 s is 3.0 m and its position at t = 4.0 s is 15.0 m.What is the slope of the position-time graph for this particle?

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Question 33

An object is thrown vertically and has an upward velocity of 18 m/s when it reaches one fourth of its maximum height above its launch point.What is the initial (launch)speed of the object?

(Multiple Choice)

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Question 34

The area under a graph of v_x vs.t from t = t_i to t = t_f represents

(Multiple Choice)

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Question 35

A helicopter descends from a height of 600 m with uniform negative acceleration,reaching the ground at rest in 5.00 minutes.Determine the acceleration of the helicopter and its initial velocity.

(Short Answer)

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Question 36

A boy on a skate board skates off a horizontal bench at a velocity of 10 m/s.One tenth of a second after he leaves the bench,to two significant figures,the magnitudes of his velocity and acceleration are:

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Question 37

Starting from rest,a car travels 1350 meters in 1.00 minute.It accelerated at 1.0 m/s² until it reached its cruising speed.Then it drove the remaining distance at constant velocity.What was its cruising speed?

(Short Answer)

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Question 38

An automobile manufacturer claims that its product will,starting from rest,travel 0.40 km in 9.0 s.What is the magnitude of the constant acceleration required to do this?

(Multiple Choice)

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Question 39

When starting from rest at the bottom of a straight road with constant upward slope,Joan bicycles to the top 50.0 s ahead of Sally,whose travel time is 5.00 minutes.What is the ratio of Joan's acceleration to Sally's acceleration?

(Multiple Choice)

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Question 40

Showing 21 - 40 of 66

Exam 2: Motion in One Dimension

Two children start at one end of a street,the origin,run to the other end,then head back.On the way back Joan is ahead of Mike.Which statement is correct about the distances run and the displacements from the origin?

An object is thrown downward with an initial (t = 0)speed of 10 m/s from a height of 60 m above the ground.At the same instant (t = 0),a second object is propelled vertically upward from ground level with a speed of 40 m/s.At what height above the ground will the two objects pass each other?

A stone is thrown from the top of a building with an initial velocity of 20 m/s downward.The top of the building is 60 m above the ground.How much time elapses between the instant of release and the instant of impact with the ground?

A ball is thrown vertically upward with an initial speed of 20 m/s.Two seconds later,a stone is thrown vertically (from the same initial height as the ball)with an initial speed of 24 m/s.At what height above the release point will the ball and stone pass each other?

The position of a particle as it moves along the x axis is given by x = 15e−2t m,where t is in s.What is the acceleration of the particle at t = 1.0 s?

A particle moving along the x axis has a position given by x = 54t − 2.0t3 m.At the time t = 3.0 s,the speed of the particle is zero.Which statement is correct?

Vx is the velocity of a particle moving along the x axis as shown.If x = 2.0 m at t = 1.0 s,what is the position of the particle at t = 6.0 s?

A toy rocket,launched from the ground,rises vertically with an acceleration of 20 m/s2 for 6.0 s until its motor stops.Disregarding any air resistance,what maximum height above the ground will the rocket achieve?

A proton moving along the x axis has an initial velocity of 4.0 × 106 m/s and a constant acceleration of 6.0 × 1012 m/s2.What is the velocity of the proton after it has traveled a distance of 80 cm?

The graph below shows the velocity versus time graph for a ball.Which explanation best fits the motion of the ball as shown by the graph?

A bullet is fired through a board,14.0 cm thick,with its line of motion perpendicular to the face of the board.If it enters with a speed of 450 m/s and emerges with a speed of 220 m/s,what is the bullet's acceleration as it passes through the board?

A rock is thrown downward from an unknown height above the ground with an initial speed of 10 m/s.It strikes the ground 3.0 s later.Determine the initial height of the rock above the ground.

A particle is moving at constant velocity.Its position at t = 1.0 s is 3.0 m and its position at t = 4.0 s is 15.0 m.What is the slope of the position-time graph for this particle?

An object is thrown vertically and has an upward velocity of 18 m/s when it reaches one fourth of its maximum height above its launch point.What is the initial (launch)speed of the object?

The area under a graph of vx vs.t from t = ti to t = tf represents

A helicopter descends from a height of 600 m with uniform negative acceleration,reaching the ground at rest in 5.00 minutes.Determine the acceleration of the helicopter and its initial velocity.

A boy on a skate board skates off a horizontal bench at a velocity of 10 m/s.One tenth of a second after he leaves the bench,to two significant figures,the magnitudes of his velocity and acceleration are:

Starting from rest,a car travels 1350 meters in 1.00 minute.It accelerated at 1.0 m/s2 until it reached its cruising speed.Then it drove the remaining distance at constant velocity.What was its cruising speed?

An automobile manufacturer claims that its product will,starting from rest,travel 0.40 km in 9.0 s.What is the magnitude of the constant acceleration required to do this?

When starting from rest at the bottom of a straight road with constant upward slope,Joan bicycles to the top 50.0 s ahead of Sally,whose travel time is 5.00 minutes.What is the ratio of Joan's acceleration to Sally's acceleration?

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The position of a particle as it moves along the x axis is given by x = 15e−²^t m,where t is in s.What is the acceleration of the particle at t = 1.0 s?

A particle moving along the x axis has a position given by x = 54t − 2.0t³ m.At the time t = 3.0 s,the speed of the particle is zero.Which statement is correct?

V_x is the velocity of a particle moving along the x axis as shown.If x = 2.0 m at t = 1.0 s,what is the position of the particle at t = 6.0 s?

A toy rocket,launched from the ground,rises vertically with an acceleration of 20 m/s² for 6.0 s until its motor stops.Disregarding any air resistance,what maximum height above the ground will the rocket achieve?

A proton moving along the x axis has an initial velocity of 4.0 × 10⁶ m/s and a constant acceleration of 6.0 × 10¹² m/s².What is the velocity of the proton after it has traveled a distance of 80 cm?

The area under a graph of v_x vs.t from t = t_i to t = t_f represents

Starting from rest,a car travels 1350 meters in 1.00 minute.It accelerated at 1.0 m/s² until it reached its cruising speed.Then it drove the remaining distance at constant velocity.What was its cruising speed?