Question 1

A stone is tied to a 0.50-m string and whirled at a constant speed of 4.0 m/s in a vertical circle.The acceleration at the bottom of the circle is:

Accepted Answer

A) 9.8 m/s2, up 
B) 9.8 m/s2, down 
C) 8.0 m/s2, up 
D) 32 m/s2, up 
E) 32 m/s2, down 
A) 9.8 m/s2, up 
B) 9.8 m/s2, down 
C) 8.0 m/s2, up 
D) 32 m/s2, up 
E) 32 m/s2, down

Question 2

A stone is thrown outward from the top of a 59.4-m high cliff with an upward velocity component of 19.5 m/s.How long is the stone in the air? Assume that it lands on the ground below the cliff, and that the ground below the cliff is flat.

Accepted Answer

A) 4.00 s 
B) 5.00 s 
C) 6.00 s 
D) 7.00 s 
E) 8.00 s 
A) 4.00 s 
B) 5.00 s 
C) 6.00 s 
D) 7.00 s 
E) 8.00 s

Question 3

The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h.At what distance d should it release a heavy bomb to hit the target X? Take g = 10 m/s2.

Accepted Answer

A) 150 m 
B) 295 m 
C) 417 m 
D) 1500 m 
E) 15,000 m 
A) 150 m 
B) 295 m 
C) 417 m 
D) 1500 m 
E) 15,000 m

Question 4

A toy racing car moves with constant speed around the circle shown below.When it is at point A its coordinates are x = 0, y = 3m and its velocity is (6 m/s).When it is at point B its velocity and acceleration are:

Accepted Answer

A) −(6 m/s)and (12 m/s2), respectively 
B) (6 m/s)and −(12 m/s2), respectively 
C) (6 m/s)and (12 m/s2), respectively 
D) (6 m/s)and (12 m/s3), respectively 
E) (6 m/s)and 0 m/s2, respectively 
A) −(6 m/s)and (12 m/s2), respectively 
B) (6 m/s)and −(12 m/s2), respectively 
C) (6 m/s)and (12 m/s2), respectively 
D) (6 m/s)and (12 m/s3), respectively 
E) (6 m/s)and 0 m/s2, respectively

Question 5

A projectile is fired over level ground with an initial velocity that has a vertical component of 20 m/s and a horizontal component of 30 m/s.Using g = 10 m/s2, the distance from launching to landing points is:

Accepted Answer

A) 40 m 
B) 60 m 
C) 80 m 
D) 120 m 
E) 180 m 
A) 40 m 
B) 60 m 
C) 80 m 
D) 120 m 
E) 180 m

Question 6

Which of the following is a scalar quantity?

Accepted Answer

A) Speed 
B) Velocity 
C) Displacement 
D) Acceleration 
E) None of these 
A) Speed 
B) Velocity 
C) Displacement 
D) Acceleration 
E) None of these

Question 7

A ferry boat is sailing at 12 km/h 30$\degree$ W of N with respect to a river that is flowing at 6.0 km/h E.As observed from the shore, the ferry boat is sailing:

Accepted Answer

A) 30$\degree$ E of N 
B) due N 
C) 30$\degree$ W of N 
D) 45$\degree$ E of N 
E) none of these 
A) 30$\degree$ E of N 
B) due N 
C) 30$\degree$ W of N 
D) 45$\degree$ E of N 
E) none of these

Question 8

A particle goes from x = -2 m, y = 3 m, z = 1 m to x = 3 m, y = -1 m, z = 4 m.Its displacement is:

Accepted Answer

A) (1 m)+ (2 m)+ (5 m) 
B) (5 m)− (4 m)+ (3 m) 
C) −(5 m)+ (4 m)− (3 m) 
D) −(1 m)− (2 m)− (5 m) 
E) −(5 m)− (2 m)− (3 m) 
A) (1 m)+ (2 m)+ (5 m) 
B) (5 m)− (4 m)+ (3 m) 
C) −(5 m)+ (4 m)− (3 m) 
D) −(1 m)− (2 m)− (5 m) 
E) −(5 m)− (2 m)− (3 m)

Question 9

An airplane is flying north at 500 km/h.It makes a gradual 180$\degree$ turn at constant speed, changing its direction of travel from north through east to south.The process takes 40 s.The average acceleration of the plane for this turn is:

Accepted Answer

A) 12.5 km/h.s, north 
B) 12.5 km/h.s, east 
C) 12.5 km/h.s, south 
D) 25 km/h.s, north 
E) 25 km/h.s, south 
A) 12.5 km/h.s, north 
B) 12.5 km/h.s, east 
C) 12.5 km/h.s, south 
D) 25 km/h.s, north 
E) 25 km/h.s, south

Question 10

An object has a velocity of (5.4 m/s)− (4.8 m/s).Over a period of 1.3 s, its velocity changes to (1.7 m/s)+ (5.9 m/s).What is its acceleration?

Accepted Answer

A) −(3.7 m/s)+ (11 m/s) 
B) −(2.8 m/s)+ (8.2 m/s) 
C) (3.7 m/s)+ (11 m/s) 
D) (2.8 m/s)+ (8.2 m/s) 
E) −(2.8 m/s)+ (1.1 m/s) 
A) −(3.7 m/s)+ (11 m/s) 
B) −(2.8 m/s)+ (8.2 m/s) 
C) (3.7 m/s)+ (11 m/s) 
D) (2.8 m/s)+ (8.2 m/s) 
E) −(2.8 m/s)+ (1.1 m/s)

Question 11

An object is shot from the back of a railroad flatcar moving at 40 km/h on a straight horizontal road.The launcher is aimed upward, perpendicular to the bed of the flatcar.The object falls:

Accepted Answer

A) in front of the flatcar 
B) behind the flatcar 
C) on the flatcar 
D) either behind or in front of the flatcar, depending on the initial speed of the object 
E) to the side of the flatcar 
A) in front of the flatcar 
B) behind the flatcar 
C) on the flatcar 
D) either behind or in front of the flatcar, depending on the initial speed of the object 
E) to the side of the flatcar

Question 12

A stone is tied to the end of a string and is swung with constant speed around a horizontal circle with a radius of 1.5 m.If it makes two complete revolutions each second, its acceleration is:

Accepted Answer

A) 0.24 m/s2 
B) 2.4 m/s2 
C) 24 m/s2 
D) 240 m/s2 
E) 2400 m/s2 
A) 0.24 m/s2 
B) 2.4 m/s2 
C) 24 m/s2 
D) 240 m/s2 
E) 2400 m/s2

Question 13

Which of the following is NOT an example of accelerated motion?

Accepted Answer

A) Vertical component of projectile motion 
B) Circular motion at constant speed 
C) A swinging pendulum 
D) Earth's motion about sun 
E) Horizontal component of projectile motion 
A) Vertical component of projectile motion 
B) Circular motion at constant speed 
C) A swinging pendulum 
D) Earth's motion about sun 
E) Horizontal component of projectile motion

Question 14

A girl jogs around a horizontal circle with a constant speed.She travels one fourth of a revolution, a distance of 25 m along the circumference of the circle, in 5.0 s.The magnitude of her acceleration is:

Accepted Answer

A) 0.31 m/s2 
B) 1.3 m/s2 
C) 1.6 m/s2 
D) 3.9 m/s2 
E) 6.3 m/s2 
A) 0.31 m/s2 
B) 1.3 m/s2 
C) 1.6 m/s2 
D) 3.9 m/s2 
E) 6.3 m/s2

Question 15

Acceleration is defined as:

Accepted Answer

A) rate of change of position with time 
B) speed divided by time 
C) rate of change of velocity with time 
D) a speeding up or slowing down 
E) change of velocity 
A) rate of change of position with time 
B) speed divided by time 
C) rate of change of velocity with time 
D) a speeding up or slowing down 
E) change of velocity

Question 16

Velocity is defined as:

Accepted Answer

A) rate of change of position with time 
B) position divided by time 
C) rate of change of acceleration with time 
D) a speeding up or slowing down 
E) change of position 
A) rate of change of position with time 
B) position divided by time 
C) rate of change of acceleration with time 
D) a speeding up or slowing down 
E) change of position

Question 17

A Ferris wheel with a radius of 8.0m makes 1 revolution every 10 s.When he is at the top, essentially a diameter above the ground, he releases a ball.How far from the point on the ground directly under the release point does the ball land?

Accepted Answer

A) 0 m 
B) 1.0 m 
C) 8.0 m 
D) 9.1 m 
E) 16 m 
A) 0 m 
B) 1.0 m 
C) 8.0 m 
D) 9.1 m 
E) 16 m

Question 18

An object is at rest at x = 0 m, y = 0 m.It accelerates at a rate of (−3.2 m/s2)+ (8.6 m/s2).After accelerating for 4.7 seconds its coordinates are:

Accepted Answer

A) x = −15 m, y = 40 m 
B) x = −35 m, y = 95 m 
C) x = −24 m, y = 170 m 
D) x = −70 m, y = 190 m 
E) x = −48 m, y = 340 m 
A) x = −15 m, y = 40 m 
B) x = −35 m, y = 95 m 
C) x = −24 m, y = 170 m 
D) x = −70 m, y = 190 m 
E) x = −48 m, y = 340 m

Question 19

From your window you can see a high-rise building several blocks away.You check the map and see that the building is 560 m away from you in a straight line, in a direction 30° south of east.However, the roads are all east-west and north-south.If you want to walk from your house to the building, how far in each direction do you have to walk?

Accepted Answer

A) 480 m east and 280 m south 
B) 280 m east and 480 m south 
C) 280 m east and 280 m south 
D) 480 m east and 50 m south 
E) cannot be determined without looking at the streets on the map 
A) 480 m east and 280 m south 
B) 280 m east and 480 m south 
C) 280 m east and 280 m south 
D) 480 m east and 50 m south 
E) cannot be determined without looking at the streets on the map

Question 20

Two bodies are falling with negligible air resistance, side by side, above a horizontal plane.If one of the bodies is given an additional horizontal acceleration during its descent, it:

Accepted Answer

A) strikes the plane at the same time as the other body 
B) strike the plane earlier than the other body 
C) has the vertical component of its velocity altered 
D) has the vertical component of its acceleration altered 
E) follows a straight line path along the resultant acceleration vector 
A) strikes the plane at the same time as the other body 
B) strike the plane earlier than the other body 
C) has the vertical component of its velocity altered 
D) has the vertical component of its acceleration altered 
E) follows a straight line path along the resultant acceleration vector

Exam 4: Motion in Two and Three Dimensions

A stone is tied to a 0.50-m string and whirled at a constant speed of 4.0 m/s in a vertical circle.The acceleration at the bottom of the circle is:

A stone is thrown outward from the top of a 59.4-m high cliff with an upward velocity component of 19.5 m/s.How long is the stone in the air? Assume that it lands on the ground below the cliff, and that the ground below the cliff is flat.

The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h.At what distance d should it release a heavy bomb to hit the target X? Take g = 10 m/s2.

A toy racing car moves with constant speed around the circle shown below.When it is at point A its coordinates are x = 0, y = 3m and its velocity is (6 m/s).When it is at point B its velocity and acceleration are:

A projectile is fired over level ground with an initial velocity that has a vertical component of 20 m/s and a horizontal component of 30 m/s.Using g = 10 m/s2, the distance from launching to landing points is:

Which of the following is a scalar quantity?

A ferry boat is sailing at 12 km/h 30 °\degree° W of N with respect to a river that is flowing at 6.0 km/h E.As observed from the shore, the ferry boat is sailing:

A particle goes from x = -2 m, y = 3 m, z = 1 m to x = 3 m, y = -1 m, z = 4 m.Its displacement is:

An airplane is flying north at 500 km/h.It makes a gradual 180 °\degree° turn at constant speed, changing its direction of travel from north through east to south.The process takes 40 s.The average acceleration of the plane for this turn is:

An object has a velocity of (5.4 m/s)− (4.8 m/s).Over a period of 1.3 s, its velocity changes to (1.7 m/s)+ (5.9 m/s).What is its acceleration?

An object is shot from the back of a railroad flatcar moving at 40 km/h on a straight horizontal road.The launcher is aimed upward, perpendicular to the bed of the flatcar.The object falls:

A stone is tied to the end of a string and is swung with constant speed around a horizontal circle with a radius of 1.5 m.If it makes two complete revolutions each second, its acceleration is:

Which of the following is NOT an example of accelerated motion?

A girl jogs around a horizontal circle with a constant speed.She travels one fourth of a revolution, a distance of 25 m along the circumference of the circle, in 5.0 s.The magnitude of her acceleration is:

Acceleration is defined as:

Velocity is defined as:

A Ferris wheel with a radius of 8.0m makes 1 revolution every 10 s.When he is at the top, essentially a diameter above the ground, he releases a ball.How far from the point on the ground directly under the release point does the ball land?

An object is at rest at x = 0 m, y = 0 m.It accelerates at a rate of (−3.2 m/s2)+ (8.6 m/s2).After accelerating for 4.7 seconds its coordinates are:

Two bodies are falling with negligible air resistance, side by side, above a horizontal plane.If one of the bodies is given an additional horizontal acceleration during its descent, it:

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The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h.At what distance d should it release a heavy bomb to hit the target X? Take g = 10 m/s².

A projectile is fired over level ground with an initial velocity that has a vertical component of 20 m/s and a horizontal component of 30 m/s.Using g = 10 m/s², the distance from launching to landing points is:

A ferry boat is sailing at 12 km/h 30 $\degree$ W of N with respect to a river that is flowing at 6.0 km/h E.As observed from the shore, the ferry boat is sailing:

An airplane is flying north at 500 km/h.It makes a gradual 180 $\degree$ turn at constant speed, changing its direction of travel from north through east to south.The process takes 40 s.The average acceleration of the plane for this turn is:

An object is at rest at x = 0 m, y = 0 m.It accelerates at a rate of (−3.2 m/s²)+ (8.6 m/s²).After accelerating for 4.7 seconds its coordinates are: