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 = 23 m/sec
when thrown at an angle (projectiles A, B, and C), the angle is 29º
the height of the cliff (projectiles C and D) is 15 meters
the barrier projectile B strikes is 3 meters tall

What is the height of the apex for projectile A?

27.0 meters20.6 meters6.3 meters

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

23.0 m/sec11.2 m/sec20.1 m/sec0 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?

20.1 m/sec23 m/sec0 m/sec11.2 m/sec

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

1.96 sec1.14 sec0.31 sec2.52 sec

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

68.1º21.9º29.0º21.7º

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

22.9 meters21.9 meters39.5 meters

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

26.2 meters35.6 meters21.3 meters42.0 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 zero, and its acceleration equals 0 //sec²its instantaneous velocity equals 20.1 m/sec and its acceleration is -9.8 m/sec²its instantaneous velocity equals 20.5 m/sec and its acceleration is +9.8 m/sec²its instantaneous velocity equals 23.0 m/sec and its acceleration is -9.8 m/sec²

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

28.7 m/sec20.5 m/sec23.0 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?

3.22 seconds0.95 seconds2.18 seconds0.65 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?

5.27 seconds2.28 seconds1.75 seconds

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

45.5º44.5º38.7º36.7º

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

35.2 meters40.2 meters121.3 meters