Chapter 3 Review

4
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 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

3
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 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

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3
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 options:

1) 9.60 m

2) 13.4 m

3) 18.7 m

4) 22.4 m

5) 24.3 m

3
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 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

3
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 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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3
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 options:

1) 0

2) 17.1 N

3) 24.1 N

4) 27.1 N

5) 50.0 N

4
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 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

1
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 options:

1) 198 mph

2) 193 mph

3) 188 mph

4) 180 mph

5) 172 mph

3
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 options:

1) 4.4 m

2) 8.8 m

3) 13.4 m

4) 17.9 m

5) 18.4 m

1
Which of the following is an example of a vector quantity?
Question options:

1) velocity

2) temperature

3) volume

4) mass

5) length

1
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 options:

1) 43 yards

2) 55 yards

3) 63 yards

4) 75 yards

5) 81 yards

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 options:

1) 43 yards

2) 55 yards

3) 63 yards

4) 75 yards

5) 81 yards

3
When we add a displacement vector to another displacement vector, the result is:
Question options:

1) a velocity.

2) an acceleration.

3) another displacement.

4) a scalar.

5) none of the above.

1
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 options:

1) 11.0 m

2) 9.80 m

3) 22.1 m

4) 44.1 m

5) 48.3 m

2
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 options:

1) sine

2) cosine

3) tangent

4) cotangent

5) none of the above

2
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 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

3
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 options:

1) 52.5o N of E

2) 52.5o N of W

3) 37.5o N of W

4) 36.9o N of W

5) 37.5o N of E

2
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 options:

1) 1 km/h

2) 2 km/h

3) 3 km/h

4) 4 km/h

5) 5 km/h

1
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 options:

1) 226 m

2) 247 m

3) 339 m

4) 400 m

5) 452 m

3
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 options:

1) 58 m

2) 154 m

3) 120 m

4) 197 m

5) 213 m

2
Question 62 1 / 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 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.

4
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 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

2
Which type of quantity is characterized by both magnitude and direction?
Question options:

1) scalar

2) vector

3) trigonometric

4) algebraic variable

5) dimensional

2
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 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°

1
The first displacement is 6 m and the second displacement is 3 m. They cannot add together to give a total displacement of:
Question options:

1) 2 m.

2) 3 m.

3) 6 m.

4) 5 m.

5) 9 m .

2
he 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 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°

1
The first displacement is 6 m and the second displacement is 3 m. They cannot add together to give a total displacement of:
Question options:

1) 2 m.

2) 3 m.

3) 6 m.

4) 5 m.

5) 9 m .

1
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 options:

1) 76.4 m

2) 38.2 m

3) 57.3 m

4) 66.7 m

5) zero

4
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 options:

1) 6 m

2) 30 m

3) 60 m

4) 90 m

5) 100 m

2
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 options:

1) 1st

2) 2nd

3) 3rd

4) 4th

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

3
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 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

3
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 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

1
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/s2 and air resistance is negligible)
Question options:

1) 58 m

2) 154 m

3) 120 m

4) 175 m

5) 197 m

1
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 gMars = 3.72 m/s2.)
Question options:

1) 1.8 minutes

2) 2.4 minutes

3) 3.0 minutes

4) 0.79 minute

5) 1.2 minutes

4
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 options:

1) 300 m/s

2) 333 m/s

3) 500 m/s

4) 700 m/s

5) 751 m/s

3
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 options:

1) 40 m/s

2) 50 m/s

3) 60 m/s

4) 70 m/s

5) 80 m/s

4
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 options:

1) 19°

2) 45°

3) 60°

4) 71°

5) 82°

2
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 options:

1) sine

2) cosine

3) tangent

4) cotangent

5) none of the above.

4
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 options:

1) 12 blocks

2) 9.8 blocks

3) 9.2 blocks

4) 8.6 blocks

5) 8.4 blocks

2
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 options:

1) 100

2) 200

3) 260

4) 40

5) 150

3
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 options:

1) 60°.

2) 90°.

3) 180°.

4) 120°.

5) No maximum exists.

4
Find the resultant of the following two vectors: i) 50 units due east and ii) 100 units 30° north of west.
Question 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

3
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 options:

1) 900 mph

2) 640 mph

3) 357 mph

4) 100 mph

5) 98.2 mph

1
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 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

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 options:

1) 11.0 m

2) 9.80 m

3) 22.1 m

4) zero

5) 44.1 m

2
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 options:

1) 0.42 s

2) 0.84 s

3) 1.25 s

4) 1.68 s

5) 1.87 s

4
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 options:

1) northeast

2) northwest

3) west

4) north of west

5) east

2
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 options:

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

2) 11 m/s

3) 5.5 m/s

4) 1.1 m/s

5) More information is needed.

1
When we subtract a velocity vector from another velocity vector, the result is:
Question options:

1) another velocity.

2) an acceleration.

3) a displacement.

4) a scalar.

5) none of the above.

3
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 options:

1) 200 s

2) 203 s

3) 208 s

4) 250 s

5) 262 s

4
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 options:

1) 14 m

2) 21 m

3) 43 m

4) 86 m

5) 97 m

4
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 options:

1) 0.11 m

2) 0.22 m

3) 0.33 m

4) 0.44 m

5) 0.55 m

4
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 vertical velocity component of the rock as it hits the ground?
Question options:

1) 9.0 m/s

2) 18 m/s

3) 26 m/s

4) 29 m/s

5) 32 m/s

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