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 40º
the height of the cliff (projectiles C and D) is 19 meters
the barrier projectile B strikes is 3.8 meters tall

What is the height of the apex for projectile A?

8.4 meters20.4 meters12.0 meters

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

0 m/sec12.9 m/sec20.0 m/sec15.3 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?

12.9 m/sec0 m/sec15.3 m/sec20 m/sec

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

2.89 sec1.31 sec0.34 sec2.28 sec

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

31.9º58.1º18.0º40.0º

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

29.4 meters35.0 meters20.1 meters

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

39.4 meters31.0 meters31.9 meters27.4 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 20.0 m/sec and its acceleration is -9.8 m/sec²its instantaneous velocity equals 23.2 m/sec and its acceleration is +9.8 m/sec²its instantaneous velocity equals 15.3 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?

27.8 m/sec20.0 m/sec23.2 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?

2.80 seconds1.05 seconds0.95 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?

4.88 seconds1.97 seconds2.62 seconds

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

35.7º33.5º44.0º56.5º

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

97.5 meters39.4 meters30.2 meters