Mixed Two-Dimensional Projectiles

Practice Problems
Mixed Two-Dimensional Projectiles

Directions: This worksheet allows you to practice three different modes of releasing two-dimensional projectiles.

release A has s_y = 0
release B has s_y > 0
release C has s_y < 0
release D is thrown horizontally and has s_y < 0

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Question 1 For each of the following questions:

the release velocity V = 20 m/sec
when thrown at an angle (projectiles A, B, and C), the angle is 42º
the height of the cliff (projectiles C and D) is 17 meters
the barrier projectile B strikes is 3.4 meters tall

What is the height of the apex for projectile A?

20.4 meters9.1 meters11.3 meters

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Question 2 How fast is projectile A moving as it passes through its apex?

14.9 m/sec13.4 m/sec0 m/sec20.0 m/sec

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Question 3 What is the magnitude of projectile A's resultant impact velocity when it returns to the ground?

14.9 m/sec20 m/sec13.4 m/sec0 m/sec

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Question 4 How much time does projectile B spend in the air before it strikes the barrier?

1.37 sec2.45 sec0.28 sec2.97 sec

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Question 5 At what angle does projectile B strike the barrier?

54.5º18.3º42.0º35.5º

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Question 6 How far horizontally from the point of release is the barrier located?

36.4 meters32.8 meters20.3 meters

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Question 7 How high is the apex of projectile C above the bottom of the cliff?

28.3 meters37.4 meters26.1 meters30.4 meters

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Question 8 As projectile C passes through its apex which of the following statenments is true?

its instantaneous velocity equals 14.9 m/sec and its acceleration is -9.8 m/sec²its instantaneous velocity equals 22.6 m/sec and its acceleration is +9.8 m/sec²its instantaneous velocity equals 20.0 m/sec and its acceleration is -9.8 m/sec²its instantaneous velocity equals zero, and its acceleration equals 0 //sec²

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Question 9 What is the magnitude of projectile C's resultant impact velocity when it returns to the ground?

22.6 m/sec20.0 m/sec27.1 m/sec

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Question 10 How much time does projectile C spend in the air before it strikes the ground at the base of the cliff?

0.94 seconds2.67 seconds0.85 seconds3.68 seconds

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Question 11 How much time does projectile D spend in the air before it strikes the ground at the base of the cliff?

4.80 seconds1.86 seconds2.73 seconds

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Question 12 At what angle does projectile D strike the ground at the base of the cliff?

56.7º36.5º42.4º33.3º

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Question 13 How far from the base of the cliff does projectile D strike the ground?

27.7 meters37.3 meters96.1 meters