Question 1

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?

Accepted Answer

A) 17 m 
B) 21 m 
C) 18 m 
D) 27 m 
E) 31 m

Question 2

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?

Accepted Answer

A) 2.0 s 
B) 6.1 s 
C) 3.5 s 
D) 1.6 s 
E) 1.0 s

Question 3

An automobile moving along a straight track changes its velocity from 40 m/s to 80 m/s in a distance of 200 m.What is the (constant)acceleration of the vehicle during this time?

Accepted Answer

A) 8.0 m/s 
B) 9.6 m/s 
C) 12 m/s 
D) 6.9 m/s 
E) 0.20 m/s

Question 4

An object moving on the x axis with a constant acceleration increases its x coordinate by 80 m in a time of 5.0 s and has a velocity of +20 m/s at the end of this time.Determine the acceleration of the object during this motion.

Accepted Answer

A) -1.6 m/s2 
B) +6.4 m/s2 
C) +1.6 m/s2 
D) -2.0 m/s2 
E) -6.4 m/s2

Question 5

A rocket,initially at rest,is fired vertically with an upward acceleration of 10 m/s2.At an altitude of 0.50 km,the engine of the rocket cuts off.What is the maximum altitude it achieves?

Accepted Answer

A) 1.9 km 
B) 1.3 km 
C) 1.6 km 
D) 1.0 km 
E) 2.1 km

Question 6

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?

Accepted Answer

A) 0,since this is a constant velocity situation. 
B) 4.0 m/s 
C) 4.0 m/s2 
D) 9.0 m/s 
E) 12 m/s2

Question 7

A ball thrown vertically from ground level is caught 3.0 s later when it is at its highest point by a person on a balcony which is 14 m above the ground.Determine the initial speed of the ball.

Accepted Answer

A) 19 m/s 
B) 4.7 m/s 
C) 10 m/s 
D) 34 m/s 
E) 17 m/s

Question 8

An object is thrown vertically upward such that it has a speed of 25 m/s when it reaches two thirds of its maximum height above the launch point.Determine this maximum height.

Accepted Answer

A) 64 m 
B) 48 m 
C) 32 m 
D) 96 m 
E) 75 m

Question 9

A particle moving along the x axis has a position given by x = (24t - 2.0t3)m,where t is measured in s.What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?

Accepted Answer

A) 24 m/s2 
B) zero 
C) 12 m/s2 
D) 48 m/s2 
E) 36 m/s2

Question 10

Two identical balls are at rest and side by side at the top of a hill.You let one ball,A,start rolling down the hill.A little later you start the second ball,B,down the hill by giving it a shove.The second ball rolls down the hill along a line parallel to the path of the first ball and passes it.At the instant ball B passes ball A:

Accepted Answer

A) it has the same position and the same velocity as A. 
B) it has the same position and the same acceleration as A. 
C) it has the same velocity and the same acceleration as A. 
D) it has the same displacement and the same velocity as A. 
E) it has the same position,displacement and velocity as A.

Question 11

Dallas says that any change in velocity is directly proportional to the time interval over which the change took place.Dana says that is true only when the acceleration is constant.Which one,if either,is correct?

Accepted Answer

A) Dana,because it is true only when the acceleration is constant. 
B) Dallas,because we can define ax,avg so that $\Delta$vx = ax,avg$\Delta$t. 
C) Dallas,because ax,avg always is equal to $$\frac { a _ { x , i } + a _ { x , f } } { 2 }$$ . 
D) All the above are correct. 
E) Only (a)and (b)above are correct.

Question 12

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?

Accepted Answer

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

Question 13

An electron,starting from rest and moving with a constant acceleration,travels 2.0 cm in 5.0 ms.What is the magnitude of this acceleration?

Accepted Answer

A) 2.5 km/s2 
B) 0.80 km/s2 
C) 1.6 km/s2 
D) 1.3 km/s2 
E) 3.2 km/s2

Question 14

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?

Accepted Answer

A) 53 m 
B) 41 m 
C) 57 m 
D) 46 m 
E) 37 m

Question 15

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:

Accepted Answer

A) 10 m/s;9.8 m/s2. 
B) 9.0 m/s;9.8 m/s2. 
C) 9.0 m/s;9.0 m/s2. 
D) 1.0 m/s;9.0 m/s2. 
E) 1.0 m/s;9.8 m/s2.

Exam 2: Motion in One Dimension

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?

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?

An automobile moving along a straight track changes its velocity from 40 m/s to 80 m/s in a distance of 200 m.What is the (constant) acceleration of the vehicle during this time?

An object moving on the x axis with a constant acceleration increases its x coordinate by 80 m in a time of 5.0 s and has a velocity of +20 m/s at the end of this time.Determine the acceleration of the object during this motion.

A rocket,initially at rest,is fired vertically with an upward acceleration of 10 m/s².At an altitude of 0.50 km,the engine of the rocket cuts off.What is the maximum altitude it achieves?

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?

A ball thrown vertically from ground level is caught 3.0 s later when it is at its highest point by a person on a balcony which is 14 m above the ground.Determine the initial speed of the ball.

An object is thrown vertically upward such that it has a speed of 25 m/s when it reaches two thirds of its maximum height above the launch point.Determine this maximum height.

A particle moving along the x axis has a position given by x = (24t - 2.0t³) m,where t is measured in s.What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?

Dallas says that any change in velocity is directly proportional to the time interval over which the change took place.Dana says that is true only when the acceleration is constant.Which one,if either,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?

An electron,starting from rest and moving with a constant acceleration,travels 2.0 cm in 5.0 ms.What is the magnitude of this acceleration?

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 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:

Exam 2: Motion in One Dimension

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?

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?

An automobile moving along a straight track changes its velocity from 40 m/s to 80 m/s in a distance of 200 m.What is the (constant) acceleration of the vehicle during this time?

An object moving on the x axis with a constant acceleration increases its x coordinate by 80 m in a time of 5.0 s and has a velocity of +20 m/s at the end of this time.Determine the acceleration of the object during this motion.

A rocket,initially at rest,is fired vertically with an upward acceleration of 10 m/s2.At an altitude of 0.50 km,the engine of the rocket cuts off.What is the maximum altitude it achieves?

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?

A ball thrown vertically from ground level is caught 3.0 s later when it is at its highest point by a person on a balcony which is 14 m above the ground.Determine the initial speed of the ball.

An object is thrown vertically upward such that it has a speed of 25 m/s when it reaches two thirds of its maximum height above the launch point.Determine this maximum height.

A particle moving along the x axis has a position given by x = (24t - 2.0t3) m,where t is measured in s.What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?

Dallas says that any change in velocity is directly proportional to the time interval over which the change took place.Dana says that is true only when the acceleration is constant.Which one,if either,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?

An electron,starting from rest and moving with a constant acceleration,travels 2.0 cm in 5.0 ms.What is the magnitude of this acceleration?

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 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:

A rocket,initially at rest,is fired vertically with an upward acceleration of 10 m/s².At an altitude of 0.50 km,the engine of the rocket cuts off.What is the maximum altitude it achieves?

A particle moving along the x axis has a position given by x = (24t - 2.0t³) m,where t is measured in s.What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?

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?