Two baseballs are released at the same time. One is dropped from rest and the other is given an initial horizontal velocity. Which of the following is not true? Ignore atmospheric drag.
a. Both baseballs hit the ground at the same time.
b. Both have the same vertical component of velocity as they reach impact.
c. The horizontal component of velocity increases at a greater rate than the vertical component of velocity for both while they are both in the air.
d. The horizontally-released ball has a greater speed than the other ball for the whole trip.
[Ques. 2] A projectile is launched with speed v at an angle , the angle being less than 45. What other angle would give the same range for this projectile launched at the same speed v?
a. 2 b. 0.5
c. 90 d. 90 0.5
[Ques. 3] 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. 160 and 40
b. 20 and 70
c. 90 and 30
d. none of the above
e. 10 and 30
[Ques. 4] A projectile is launched at an angle above the horizontal. Three seconds later the projectile is moving the same angle below the horizontal. Which of the following (actual values with units, not just algebraic symbols) can be found from the information given?
a. the initial vertical component of the projectile's velocity
b. the initial horizontal component of the projectile's velocity
c. the initial magnitude of the velocity
d. None of the above since at least one of the above must be given to find the other two values.
[Ques. 5] A projectile is thrown horizontally at 11.5 m/s. The projectile hits the ground 0.570 s later. What is the angle of impact the projectile makes with the horizontal ground?
a. 29.1
b. 25.9
c. 119
d. 89.7
e. 64.1
[Ques. 6] 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?
a. Both projectiles have the same acceleration while in flight.
b. The second projectile has the lower speed at maximum altitude.
c. Both projectiles have the same range.
d. All of the above statements are true.
[Ques. 7] 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.)
a. 1.8 minutes
b. 2.4 minutes
c. 3.0 minutes
d. 0.79 minute
[Ques. 8] 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?
a. 44.2 m
b. 13.8 m
c. 27.3 m
d. 30.8 m
e. 36.4 m
[Ques. 9] Wiley Coyote has missed the elusive road runner once again. This time, he leaves the edge of the cliff at 52.4 m/s horizontal velocity. If the canyon is 140 m deep, how far from his starting point at the edge of the cliff does the coyote land?
a. 280 m
b. 198 m
c. 396 m
d. 140 m
e. 70.0 m
[Ques. 10] A baseball leaves the bat with a speed of 47 m/s and an angle of 45 above the horizontal. A 5.0-m-high fence is located at a horizontal distance of 137 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?
a. 59.7 m
b. 47.7 m
c. 49.7 m
d. 121 m
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