Question 1

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 28.3 m/s at an initial angle of 30.0° with respect to the horizontal.If it is in its trajectory for a total of 4.00 s before being caught by the third baseman at an equal shoulder-height level,what is the ball's net vertical displacement during its 4.00-s trajectory?​

Accepted Answer

A) 98.0 m 
B) 9.80 m 
C) 10.2 m 
D) zero 
E) ​20.4 m

Question 2

In a two-dimensional Cartesian system,the x-component of a vector is known,and the angle between vector and x-axis is known.Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component)

Accepted Answer

A) dividing by cosine 
B) dividing by sine 
C) multiplying by cosine 
D) multiplying by sine

Question 3

A ball is launched from ground level at 25 m/s at an angle of 31° above the horizontal.How far does it go before it is at ground level again?

Accepted Answer

A) 34 m 
B) 94 m 
C) 28 m 
D) 56 m 
E) 14 m

Question 4

A ball is rolled horizontally off a table with an initial speed of 0.24 m/s.A stop watch measures the ball's trajectory time from table to the floor to be 0.20 s.How far away from the table does the ball land? (g = 9.8 m/s2 and air resistance is negligible)

Accepted Answer

A) 0.24 m 
B) 0.048 m 
C) 0.39 m 
D) 0.15 m 
E) 0.47 m

Question 5

Superguy is flying at treetop level near Paris when he sees the Eiffel Tower elevator start to fall (the cable snapped).His x-ray vision tells him Lois LaTour is inside.If Superguy is 1.00 km away from the tower,and the elevator falls from a height of 230 m,how long does Superguy have to save Lois,and what must be his average speed?​

Accepted Answer

A) 4.84 s,206 m/s 
B) 8.39 s,119 m/s 
C) 6.85 s,150 m/s 
D) 9.69 s,103 m/s 
E) ​3.43 s,292 m/s

Question 6

A fireman,57.6 m away from a burning building,directs a stream of water from a fire hose at an angle of 35.2° above the horizontal.If the initial speed of the stream is 42.7 m/s,at what height will the stream of water strike the building?​

Accepted Answer

A) 44.2 m 
B) 13.8 m 
C) 27.3 m 
D) 30.8 m 
E) 36.4 m

Question 7

An object moves at a constant velocity of 12 m/s to the southwest for an interval of 30 s.Halfway through this interval,what is the magnitude of its instantaneous velocity?​

Accepted Answer

A) It can be any value from 0 to 24 m/s. 
B) 12 m/s 
C) 6 m/s 
D) More information is needed. 
E) ​24 m/s

Question 8

An object,initially moving in the negative x-direction,is subjected to a change in velocity in the positive y-direction.If the resulting velocity vector is drawn from the origin,into which quadrant does this vector point?

Accepted Answer

A) 1st 
B) 2nd 
C) 3rd 
D) None,since the object is now moving in the y-direction.

Question 9

A boat moves at 10.8 m/s relative to the water.If the boat is in a river where the current is 2.00 m/s,how long does it take the boat to make a complete round trip of 1 100 m upstream followed by a 1 100-m trip downstream?

Accepted Answer

A) 250 s 
B) 172 s 
C) 211 s 
D) 297 s 
E) ​336 s

Question 10

A boat travels upstream and after one hour has gone 10 km.The boat next travels downstream and after one hour has gone 18 km.If the boat's speed relative to the water is constant,what is the speed of the current in the river?

Accepted Answer

A) 3 km/h 
B) 4 km/h 
C) 5 km/h 
D) 6 km/h 
E) 7 km/h

Question 11

A baseball is thrown by the center fielder (from shoulder level)to home plate where it is caught (on the fly at shoulder level)by the catcher.At what point does the magnitude of the vertical component of velocity have its minimum value? (air resistance is negligible)

Accepted Answer

A) just after leaving the center fielder's hand 
B) just before arriving at the catcher's mitt 
C) at the top of the trajectory 
D) magnitude of vertical component of velocity is constant

Question 12

A bridge that was 10.4 m long has been washed out by the rain several days ago.How fast must a car be going to successfully jump the stream,if we neglect air resistance? Although the road is level on both sides of the bridge,the road on the far side is 3.00 m lower than the road on this side.

Accepted Answer

A) 18.8 m/s 
B) 13.3 m/s 
C) 10.9 m/s 
D) 26.6 m/s 
E) 14.3 m/s

Question 13

A car is initially traveling west at 25 mph,and makes a turn north.As the car finishes the turn,its velocity is 20 mph north.It takes 3.5 seconds to complete the turn.What is the average acceleration of the car while it is turning,in mph/s?​ Let east be the positive-x direction and north be the positive-y direction.

Accepted Answer

A) ​-7.1  + 5.7  
B) ​7.1  - 5.7  
C) ​5.7  - 7.1  
D) ​-5.7  + 7.1

Question 14

Plane A is flying at 350 mph in the northeast direction relative to the Earth.Plane B is flying at 460 mph in the north direction relative to the Earth.What is the direction of motion of Plane B as observed from Plane A?

Accepted Answer

A) 70.7° N of E 
B) 49.3° N of W 
C) 40.7° N of W 
D) 19.3° N of W 
E) 48.2° N of E

Question 15

A baseball is thrown by the center fielder (from shoulder level)to home plate where it is caught (on the fly at an equal shoulder level)by the catcher.At what point is the ball's speed at a minimum? (air resistance is negligible)

Accepted Answer

A) just after leaving the center fielder's hand 
B) just before arriving at the catcher's mitt 
C) at the top of the trajectory 
D) speed is constant during entire trajectory

Question 16

A stone is thrown with an initial speed of 11.5 m/s at an angle of 50.0 above the horizontal from the top of a 30.0-m-tall building. Assume air resistance is negligible, and g = 9.8 m/s2.
-What is the magnitude of the horizontal displacement of the rock?

Accepted Answer

A) 3.53 m 
B) 13.3 m 
C) 222 m 
D) 26.1 m

Question 17

A stone is thrown at an angle of 30° above the horizontal from the top edge of a cliff with an initial speed of 8.0 m/s.A stop watch measures the stone's trajectory time from top of cliff to bottom to be 5.9 s.How far out from the cliff's edge does the stone travel horizontally? (g = 9.8 m/s2 and air resistance is negligible)

Accepted Answer

A) 41 m 
B) 27 m 
C) 300 m 
D) 130 m

Question 18

A boat moves through the water in a river at a speed of 8 m/s relative to the water.The boat makes a trip downstream and then makes a return trip upstream to the original starting place.Which trip takes longer?

Accepted Answer

A) the downstream trip 
B) the upstream trip 
C) Both trips take the same amount of time. 
D) The answer cannot be figured without knowing the speed of the river flow.

Question 19

A river flows due east at 2.0 m/s.A boat crosses the 300-m-wide river by maintaining a constant velocity of 15 m/s due north relative to the water.If no correction is made for the current,how far downstream does the boat move by the time it reaches the far shore?​

Accepted Answer

A) 80 m 
B) 30 m 
C) 25 m 
D) 40 m 
E) ​50 m

Question 20

A projectile is fired at an angle of elevation of 30°.Neglecting air resistance,what are possible angles in flight between the acceleration vector and the velocity vector?

Accepted Answer

A) 160° and 40° 
B) 20° and 70° 
C) 90° and 30° 
D) none of the above 
E) 10° and 30°

Exam 3: Motion in Two Dimensions

In a two-dimensional Cartesian system,the x-component of a vector is known,and the angle between vector and x-axis is known.Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component)

A ball is launched from ground level at 25 m/s at an angle of 31° above the horizontal.How far does it go before it is at ground level again?

A ball is rolled horizontally off a table with an initial speed of 0.24 m/s.A stop watch measures the ball's trajectory time from table to the floor to be 0.20 s.How far away from the table does the ball land? (g = 9.8 m/s² and air resistance is negligible)

A fireman,57.6 m away from a burning building,directs a stream of water from a fire hose at an angle of 35.2° above the horizontal.If the initial speed of the stream is 42.7 m/s,at what height will the stream of water strike the building?

An object moves at a constant velocity of 12 m/s to the southwest for an interval of 30 s.Halfway through this interval,what is the magnitude of its instantaneous velocity?

An object,initially moving in the negative x-direction,is subjected to a change in velocity in the positive y-direction.If the resulting velocity vector is drawn from the origin,into which quadrant does this vector point?

A boat moves at 10.8 m/s relative to the water.If the boat is in a river where the current is 2.00 m/s,how long does it take the boat to make a complete round trip of 1 100 m upstream followed by a 1 100-m trip downstream?

A boat travels upstream and after one hour has gone 10 km.The boat next travels downstream and after one hour has gone 18 km.If the boat's speed relative to the water is constant,what is the speed of the current in the river?

A baseball is thrown by the center fielder (from shoulder level) to home plate where it is caught (on the fly at shoulder level) by the catcher.At what point does the magnitude of the vertical component of velocity have its minimum value? (air resistance is negligible)

A bridge that was 10.4 m long has been washed out by the rain several days ago.How fast must a car be going to successfully jump the stream,if we neglect air resistance? Although the road is level on both sides of the bridge,the road on the far side is 3.00 m lower than the road on this side.

Plane A is flying at 350 mph in the northeast direction relative to the Earth.Plane B is flying at 460 mph in the north direction relative to the Earth.What is the direction of motion of Plane B as observed from Plane A?

A baseball is thrown by the center fielder (from shoulder level) to home plate where it is caught (on the fly at an equal shoulder level) by the catcher.At what point is the ball's speed at a minimum? (air resistance is negligible)

A stone is thrown with an initial speed of 11.5 m/s at an angle of 50.0 above the horizontal from the top of a 30.0-m-tall building. Assume air resistance is negligible, and g = 9.8 m/s2. -What is the magnitude of the horizontal displacement of the rock?

A boat moves through the water in a river at a speed of 8 m/s relative to the water.The boat makes a trip downstream and then makes a return trip upstream to the original starting place.Which trip takes longer?

A river flows due east at 2.0 m/s.A boat crosses the 300-m-wide river by maintaining a constant velocity of 15 m/s due north relative to the water.If no correction is made for the current,how far downstream does the boat move by the time it reaches the far shore?

A projectile is fired at an angle of elevation of 30°.Neglecting air resistance,what are possible angles in flight between the acceleration vector and the velocity vector?

Exam 3: Motion in Two Dimensions

In a two-dimensional Cartesian system,the x-component of a vector is known,and the angle between vector and x-axis is known.Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component)

A ball is launched from ground level at 25 m/s at an angle of 31° above the horizontal.How far does it go before it is at ground level again?

A ball is rolled horizontally off a table with an initial speed of 0.24 m/s.A stop watch measures the ball's trajectory time from table to the floor to be 0.20 s.How far away from the table does the ball land? (g = 9.8 m/s2 and air resistance is negligible)

A fireman,57.6 m away from a burning building,directs a stream of water from a fire hose at an angle of 35.2° above the horizontal.If the initial speed of the stream is 42.7 m/s,at what height will the stream of water strike the building?​

An object moves at a constant velocity of 12 m/s to the southwest for an interval of 30 s.Halfway through this interval,what is the magnitude of its instantaneous velocity?​

An object,initially moving in the negative x-direction,is subjected to a change in velocity in the positive y-direction.If the resulting velocity vector is drawn from the origin,into which quadrant does this vector point?

A boat moves at 10.8 m/s relative to the water.If the boat is in a river where the current is 2.00 m/s,how long does it take the boat to make a complete round trip of 1 100 m upstream followed by a 1 100-m trip downstream?

A boat travels upstream and after one hour has gone 10 km.The boat next travels downstream and after one hour has gone 18 km.If the boat's speed relative to the water is constant,what is the speed of the current in the river?

A baseball is thrown by the center fielder (from shoulder level) to home plate where it is caught (on the fly at shoulder level) by the catcher.At what point does the magnitude of the vertical component of velocity have its minimum value? (air resistance is negligible)

A bridge that was 10.4 m long has been washed out by the rain several days ago.How fast must a car be going to successfully jump the stream,if we neglect air resistance? Although the road is level on both sides of the bridge,the road on the far side is 3.00 m lower than the road on this side.

Plane A is flying at 350 mph in the northeast direction relative to the Earth.Plane B is flying at 460 mph in the north direction relative to the Earth.What is the direction of motion of Plane B as observed from Plane A?

A baseball is thrown by the center fielder (from shoulder level) to home plate where it is caught (on the fly at an equal shoulder level) by the catcher.At what point is the ball's speed at a minimum? (air resistance is negligible)

A stone is thrown with an initial speed of 11.5 m/s at an angle of 50.0 above the horizontal from the top of a 30.0-m-tall building. Assume air resistance is negligible, and g = 9.8 m/s2. -What is the magnitude of the horizontal displacement of the rock?

A boat moves through the water in a river at a speed of 8 m/s relative to the water.The boat makes a trip downstream and then makes a return trip upstream to the original starting place.Which trip takes longer?

A river flows due east at 2.0 m/s.A boat crosses the 300-m-wide river by maintaining a constant velocity of 15 m/s due north relative to the water.If no correction is made for the current,how far downstream does the boat move by the time it reaches the far shore?​

A projectile is fired at an angle of elevation of 30°.Neglecting air resistance,what are possible angles in flight between the acceleration vector and the velocity vector?

A ball is rolled horizontally off a table with an initial speed of 0.24 m/s.A stop watch measures the ball's trajectory time from table to the floor to be 0.20 s.How far away from the table does the ball land? (g = 9.8 m/s² and air resistance is negligible)

A fireman,57.6 m away from a burning building,directs a stream of water from a fire hose at an angle of 35.2° above the horizontal.If the initial speed of the stream is 42.7 m/s,at what height will the stream of water strike the building?

An object moves at a constant velocity of 12 m/s to the southwest for an interval of 30 s.Halfway through this interval,what is the magnitude of its instantaneous velocity?

A river flows due east at 2.0 m/s.A boat crosses the 300-m-wide river by maintaining a constant velocity of 15 m/s due north relative to the water.If no correction is made for the current,how far downstream does the boat move by the time it reaches the far shore?