Physics 2010 week 3 Practice Test

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Question 1 (1 point)

A jet airliner moving at 500 mph due east moves into a region where the wind is blowing at 120 mph in a direction 30.0°north of east. What is the new velocity and direction of the aircraft?

Question 1 options:

1)	607 mph, 5.67° N of E

2)	620 mph, 5.67° N of E

3)	607 mph, 6.22° N of E

4)	588 mph, 4.87° N of E

5)	620 mph, 6.22° N of E

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Question 2 (1 point)

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 29.4 m/s at an initial angle of 30.0° with respect to the horizontal. What is the maximum vertical displacement that the ball reaches during its trajectory?

Question 2 options:

11.0 m

9.80 m

22.1 m

44.1 m

48.3 m

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Question 3 (1 point)

In a 2-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)

Question 3 options:

1)	dividing by cosine

2)	dividing by sine

3)	multiplying by cosine

4)	multiplying by sine

5)	dividing by tangent

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Question 4 (1 point)

Arvin the Ant travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward. What is Arvin's direction of displacement with respect to his original position?

Question 4 options:

1)	59° N of E

2)	29° N of E

3)	29° N of W

4)	77° N of E

5)	15° N of W

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Question 5 (1 point)

John throws a baseball from the outfield from shoulder height, at an initial velocity of 29.4 m/s at an initial angle of 30.0°with respect to the horizontal. The ball is in its trajectory for a total interval of 3.00 s before the third baseman catches it at an equal shoulder-height level. (Assume air resistance negligible.) What is the ball's horizontal displacement?

Question 5 options:

76.4 m

38.2 m

57.3 m

66.7 m

zero

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Question 6 (1 point)

A stone is thrown with an initial speed of 15 m/s at an angle of 53° above the horizontal from the top of a 35 m building. If g= 9.8 m/s² and air resistance is negligible, what is the magnitude of the horizontal displacement of the rock?

Question 6 options:

38 m

46 m

66 m

90 m

98 m

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Question 7 (1 point)

A stone is thrown at an angle of 30° above the horizontal from the top edge of a cliff with an initial speed of 12 m/s. A stop watch measures the stone's trajectory time from top of cliff to bottom to be 5.6 s. How far out from the cliff's edge does the stone travel horizontally? (g = 9.8 m/s²and air resistance is negligible)

Question 7 options:

58 m

154 m

120 m

175 m

197 m

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Question 8 (1 point)

Two projectiles are launched at 100 m/s, the angle of elevation for the first being 30° and for the second 60°. Which of the following statements is false?

Question 8 options:

1)	Both projectiles have the same acceleration while in flight.

2)	The second projectile has the lower speed at maximum altitude.

3)	Both projectiles have the same range.

4)	All of the above statements are false.

5)	Both projectiles have the same initial speed

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Question 9 (1 point)

A track star in the broad jump goes into the jump at 12 m/s and launches himself at 20° above the horizontal. How long is he in the air before returning to Earth? (g = 9.8 m/s²)

Question 9 options:

0.42 s

0.84 s

1.25 s

1.68 s

1.87 s

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Question 10 (1 point)

A quarterback takes the ball from the line of scrimmage, runs backward for 10 yards, then sideways parallel to the line of scrimmage for 15 yards. He then throws a 50-yard forward pass straight downfield perpendicular to the line of scrimmage. The receiver is tackled immediately. How far is the football displaced from its original position?

Question 10 options:

43 yards

55 yards

63 yards

75 yards

81 yards

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Question 11 (1 point)

A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 40 mph. How long will it take for the plane to travel 200 miles north?

Question 11 options:

one hour

2)	more than one hour

3)	less than one hour

4)	more information is needed

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Question 12 (1 point)

A boat travels upstream and after one hour has gone 10 km. The boat next travels downstream and after one hour has gone 14 km. If the boat's speed relative to the water is constant, what is the speed of the current in the river?

Question 12 options:

1 km/h

2 km/h

3 km/h

4 km/h

5 km/h

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Question 13 (1 point)

A ball is rolled horizontally off a table with an initial speed of 0.24 m/s. A stopwatch measures the ball's trajectory time from table to the floor to be 0.30 s. What is the height of the table? (g = 9.8 m/s² and air resistance is negligible)

Question 13 options:

0.11 m

0.22 m

0.33 m

0.44 m

0.55 m

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Question 14 (1 point)

Plane A is flying at 400 mph in the northeast direction relative to the earth. Plane B is flying at 500 mph in the north direction relative to the earth. What is the direction of motion of Plane B as observed from Plane A?

Question 14 options:

1)	52.5^o N of E

2)	52.5^o N of W

3)	37.5^o N of W

4)	36.9^o N of W

5)	37.5^o N of E

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Question 15 (1 point)

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 0.30 s. How far away from the table does the ball land? (g = 9.8 m/s² and air resistance is negligible)

Question 15 options:

0.055 m

0.072 m

1.2 m

1.9 m

2.5 m

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Question 16 (1 point)

A rifle is aimed horizontally toward the center of a target 100 m away. If the bullet strikes 10 cm below the center, what was the velocity of the bullet? (Ignore air friction.)

Question 16 options:

300 m/s

333 m/s

500 m/s

700 m/s

751 m/s

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Question 17 (1 point)

A jogger runs halfway around a circular path with a radius of 60 m. What, respectively, are the magnitude of the displacement and the distance jogged?

Question 17 options:

1)	60 m, 188 m

2)	120 m, 188 m

3)	0 m, 377 m

4)	120 m, 377 m

5)	60 m, 377 m

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Question 18 (1 point)

Five boys are pushing on a snowball, and each is pushing with a force of 10.0 N. However, each boy is pushing in a different direction. They are pushing north, northeast, east, southeast, and south. (Each boy is pushing at an angle of 45.0° relative to his neighbor.) What is the magnitude of the total force on the ball?

Question 18 options:

17.1 N

24.1 N

27.1 N

50.0 N

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Question 19 (1 point)

Which type of quantity is characterized by both magnitude and direction?

Question 19 options:

scalar

vector

3)	trigonometric

4)	algebraic variable

5)	dimensional

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Question 20 (1 point)

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 240 m, how long does Superguy have to save Lois, and what must be his average speed?

Question 20 options:

1)	3.00 s, 333 m/s

2)	5.00 s, 200 m/s

3)	7.00 s, 143 m/s

4)	9.00 s, 111 m/s

5)	10.0 s, 96.0 m/s

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Question 21 (1 point)

A stone is thrown with an initial speed of 15 m/s at an angle of 53° above the horizontal from the top of a 35 m building. If g= 9.8 m/s² and air resistance is negligible, then what is the magnitude of the horizontal component of velocity as the rock strikes the ground?

Question 21 options:

7.5 m/s

9.0 m/s

12 m/s

29 m/s

31 m/s

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Question 22 (1 point)

A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 30 mph. At what rate is the plane moving north?

Question 22 options:

198 mph

193 mph

188 mph

180 mph

172 mph

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Question 23 (1 point)

Which of the following is an example of a vector quantity?

Question 23 options:

velocity

2)	temperature

volume

mass

length

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Question 24 (1 point)

A string attached to an airborne kite is maintained at an angle of 40° with the horizontal. If a total of 120 m of string is reeled in while bringing the kite back to the ground, what is the horizontal displacement of the kite in the process? (Assume the kite string doesn't sag.)

Question 24 options:

100 m

84 m

77 m

92 m

88 m

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Question 25 (1 point)

A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 20 mph. In which direction is the plane pointed?

Question 25 options:

1)	5.7^o W of N

2)	10^o W of N

3)	22^o W of N

4)	11^o E of N

5)	8.8^o E of N

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Question 26 (1 point)

Find the resultant of the following two vectors: i) 50 units due east and ii) 100 units 30° north of west.

Question 26 options:

1)	100 units 30° north of west

2)	62 units 15° north of west

3)	87 units 60° north of west

4)	62 units 54° north of west

5)	56 units 25° north of west

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Question 27 (1 point)

A ball is launched from ground level at 30 m/s at an angle of 35° above the horizontal. How far does it go before it is at ground level again?

Question 27 options:

14 m

21 m

43 m

86 m

97 m

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Question 28 (1 point)

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)

Question 28 options:

1)	just after leaving the center fielder's hand

2)	just before arriving at the catcher's mitt

3)	at the top of the trajectory

4)	speed is constant during entire trajectory

5)	both a and b are correct

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Question 29 (1 point)

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?

Question 29 options:

1^st

2^nd

3^rd

4^th

5)	None, since the object is now moving in the y-direction.

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Question 30 (1 point)

Plane A is flying at 400 mph in the northeast direction relative to the earth. Plane B is flying at 500 mph in the north direction relative to the earth. What is the speed of Plane B as observed from Plane A?

Question 30 options:

900 mph

640 mph

357 mph

100 mph

98.2 mph

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Question 31 (1 point)

A student adds two vectors with magnitudes of 200 and 40. Which one of the following is the only possible choice for the magnitude of the resultant?

Question 31 options:

100

200

260

150

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Question 32 (1 point)

A taxicab moves five blocks due north, five blocks due east, and another two blocks due north. Assume all blocks are of equal size. What is the magnitude of the taxi's displacement, start to finish?

Question 32 options:

12 blocks

2)	9.8 blocks

3)	9.2 blocks

4)	8.6 blocks

5)	8.4 blocks

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Question 33 (1 point)

The following force vectors act on an object: i) 50.0 newtons at 45.0° north of east and ii) 25.0 newtons at 30.0° south of east. Which of the following represents the magnitude of the resultant and its angle relative to the easterly direction?

Question 33 options:

1)	75.0 newtons 7.50°

2)	61.4 newtons 21.8°

3)	23.4 newtons 18.3°

4)	12.8 newtons 37.5°

5)	10.6 newtons 44.5°

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Question 34 (1 point)

A stone is thrown with an initial speed of 15 m/s at an angle of 53° above the horizontal from the top of a 35 m building. If g= 9.8 m/s²and air resistance is negligible, then what is the magnitude of the vertical velocity component of the rock as it hits the ground?

Question 34 options:

9.0 m/s

18 m/s

26 m/s

29 m/s

32 m/s

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Question 35 (1 point)

A runner circles a track of radius 100 m in 100 s moving at a constant rate. If the runner was initially moving north, what has been the runner's average acceleration when halfway around the track?

Question 35 options:

1)	At a constant rate, the average acceleration would be zero.

2)	2 m/s², west

3)	0.25 m/s², south

4)	1.5 m/s², east

5)	No answer is correct.

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Question 36 (1 point)

A helicopter is traveling at 40 m/s at a constant altitude of 100 m over a level field. If a wheel falls off the helicopter, with what speed will it hit the ground? (g = 9.8 m/s² and air resistance negligible)

Question 36 options:

40 m/s

50 m/s

60 m/s

70 m/s

80 m/s

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Question 37 (1 point)

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 is the magnitude of the acceleration at a minimum? (air resistance is negligible)

Question 37 options:

1)	just after leaving the center fielder's hand

2)	just before arriving at the catcher's mitt

3)	at the top of the trajectory

4)	acceleration is constant during entire trajectory

5)	both a and b are correct

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Question 38 (1 point)

A bridge that was 5.0 m long has been washed out by the rain several days ago. How fast must a car be going to successfully jump the stream? Although the road is level on both sides of the bridge, the road on the far side is 2.0 m lower than the road on this side.

Question 38 options:

5.0 m/s

7.8 m/s

13 m/s

25 m/s

27 m/s

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Question 39 (1 point)

A river flows due east at 3.0 m/s. A boat crosses the 300-m-wide river by maintaining a constant velocity of 10 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?

Question 39 options:

6 m

30 m

60 m

90 m

100 m

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Question 40 (1 point)

In a 2-dimensional Cartesian coordinate system the x-component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function, with respect to the angle between vector and x-axis?

Question 40 options:

sine

cosine

tangent

cotangent

5)	none of the above.

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Question 41 (1 point)

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)

Question 41 options:

1)	just after leaving the center fielder's hand

2)	just before arriving at the catcher's mitt

3)	at the top of the trajectory

4)	magnitude of vertical component of velocity is constant

5)	both a and b are correct

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Question 42 (1 point)

A stone is thrown at an angle of 30° above the horizontal from the top edge of a cliff with an initial speed of 12 m/s. A stop watch measures the stone's trajectory time from top of cliff to bottom to be 5.6 s. What is the height of the cliff? (g = 9.8 m/s² and air resistance is negligible)

Question 42 options:

58 m

154 m

120 m

197 m

213 m

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Question 43 (1 point)

When we subtract a velocity vector from another velocity vector, the result is:

Question 43 options:

1)	another velocity.

2)	an acceleration.

3)	a displacement.

a scalar.

5)	none of the above.

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Question 44 (1 point)

The highest mountain on Mars is Olympus Mons, rising 22 000 meters above the Martian surface. If we were to throw an object horizontally off the mountain top, how long would it take to reach the surface? (Ignore atmospheric drag forces and use g_Mars = 3.72 m/s².)

Question 44 options:

1)	1.8 minutes

2)	2.4 minutes

3)	3.0 minutes

4)	0.79 minute

5)	1.2 minutes

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Question 45 (1 point)

A boat moves at 10.0 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 1 000 m upstream followed by a 1 000-m trip downstream?

Question 45 options:

200 s

203 s

208 s

250 s

262 s

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Question 46 (1 point)

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 29.4 m/s at an initial angle of 30.0° with respect to the horizontal. If it is in its trajectory for a total of 3.00 s before being caught by the third baseman at an equal shoulder-height level, what is the ball's net vertical displacement during its 3-s trajectory?

Question 46 options:

11.0 m

9.80 m

22.1 m

zero

44.1 m

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Question 47 (1 point)

A runner circles a track of radius 100 m one time in 100 s at a constant rate. The greatest change in his velocity from his starting velocity:

Question 47 options:

1)	occurs one-fourth of the way around the track.

2)	occurs one-half of the way around the track.

3)	occurs three-fourths of the way around the track.

4)	Both a and c are correct.

5)	No conclusion can be made with the information given.

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Question 48 (1 point)

An object moves at a constant velocity of 11 m/s to the southwest for an interval of 20 s. Halfway through this interval, what is the magnitude of its instantaneous velocity?

Question 48 options:

1)	It can be any value from 0 to 22 m/s.

11 m/s

5.5 m/s

1.1 m/s

5)	More information is needed.

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Question 49 (1 point)

When three vectors are added graphically and form a closed triangle, the largest enclosed angle between any two of the vectors cannot be greater than:

Question 49 options:

60°.

90°.

180°.

120°.

5)	No maximum exists.

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Question 50 (1 point)

Wiley Coyote has missed the elusive road runner once again. This time, he leaves the edge of the cliff at 50.0 m/s horizontal velocity. If the canyon is 100 m deep, how far from his starting point at the edge of the cliff does the coyote land?

Question 50 options:

226 m

247 m

339 m

400 m

452 m

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Question 51 (1 point)

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?

Question 51 options:

1)	the downstream trip

2)	the upstream trip

3)	Both trips take the same amount of time.

4)	The answer cannot be figured without knowing the speed of the river flow.

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Question 52 (1 point)

A fireman, 50.0 m away from a burning building, directs a stream of water from a fire hose at an angle of 30.0° above the horizontal. If the initial speed of the stream is 40.0 m/s, at what height will the stream of water strike the building?

Question 52 options:

9.60 m

13.4 m

18.7 m

22.4 m

24.3 m

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Question 53 (1 point)

Jack pulls a sled across a level field by exerting a force of 110 N at an angle of 30° with the ground. What are the parallel and perpendicular components, respectively, of this force with respect to the ground?

Question 53 options:

1)	64 N, 190 N

2)	190 N, 64 N

3)	95 N, 55 N

4)	55 N, 95 N

5)	106 N, 87 N

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Question 54 (1 point)

In a 2-dimensional Cartesian coordinate system the y-component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function, with respect to the angle between vector and y-axis?

Question 54 options:

sine

cosine

tangent

cotangent

5)	none of the above

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Question 55 (1 point)

A stone is thrown with an initial speed of 15 m/s at an angle of 53° above the horizontal from the top of a 35 m building. If g= 9.8 m/s²and air resistance is negligible, then what is the speed of the rock as it hits the ground?

Question 55 options:

15 m/s

21 m/s

30 m/s

36 m/s

42 m/s

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Question 56 (1 point)

A car is initially moving at 20 m/s east and a little while later it is moving at 10 m/s north. Which of the following best describes the orientation of the average acceleration during this time interval?

Question 56 options:

northeast

northwest

west

4)	north of west

east

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Question 57 (1 point)

When we add a displacement vector to another displacement vector, the result is:

Question 57 options:

1)	a velocity.

2)	an acceleration.

3)	another displacement.

a scalar.

5)	none of the above.

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Question 58 (1 point)

I walk six miles in a straight line in a direction north of east, and I end up two miles east and several miles north. How many degrees north of east have I walked?

Question 58 options:

19°

45°

60°

71°

82°

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Question 59 (1 point)

The first displacement is 6 m and the second displacement is 3 m. They cannot add together to give a total displacement of:

Question 59 options:

2 m.

3 m.

6 m.

5 m.

9 m .

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Question 60 (1 point)

A baseball leaves the bat with a speed of 44.0 m/s and an angle of 30.0° above the horizontal. A 5.0-m-high fence is located at a horizontal distance of 132 m from the point where the ball is struck. Assuming the ball leaves the bat 1.0 m above ground level, by how much does the ball clear the fence?

Question 60 options:

4.4 m

8.8 m

13.4 m

17.9 m

18.4 m

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Question 61 (1 point)

Arvin the Ant is on a picnic table. He travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward. What is the magnitude of Arvin's net displacement?

Question 61 options:

70 cm

57 cm

52 cm

29 cm

18 cm

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Question 62 (1 point)

A hiker walks 200 m west and then walks 100 m north. In what direction is her resulting displacement?

Question 62 options:

north

west

northwest

east

5)	None of the answers is correct.

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