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
omit
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 meters
20.4 meters
12.0 meters
omit
Question 2
How fast is projectile A moving as it passes through its apex?
0 m/sec
12.9 m/sec
20.0 m/sec
15.3 m/sec
omit
Question 3
What is the magnitude of projectile A's resultant impact velocity when it returns to the ground?
12.9 m/sec
0 m/sec
15.3 m/sec
20 m/sec
omit
Question 4
How much time does projectile B spend in the air before it strikes the barrier?
2.89 sec
1.31 sec
0.34 sec
2.28 sec
omit
Question 5
At what angle does projectile B strike the barrier?
31.9º
58.1º
18.0º
40.0º
omit
Question 6
How far horizontally from the point of release is the barrier located?
29.4 meters
35.0 meters
20.1 meters
omit
Question 7
How high is the apex of projectile C above the bottom of the cliff?
39.4 meters
31.0 meters
31.9 meters
27.4 meters
omit
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/sec
^{2}
its instantaneous velocity equals 23.2 m/sec and its acceleration is +9.8 m/sec
^{2}
its instantaneous velocity equals 15.3 m/sec and its acceleration is -9.8 m/sec
^{2}
its instantaneous velocity equals zero, and its acceleration equals 0 //sec
^{2}
omit
Question 9
What is the magnitude of projectile C's resultant impact velocity when it returns to the ground?
27.8 m/sec
20.0 m/sec
23.2 m/sec
omit
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 seconds
1.05 seconds
0.95 seconds
3.68 seconds
omit
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 seconds
1.97 seconds
2.62 seconds
omit
Question 12
At what angle does projectile D strike the ground at the base of the cliff?
35.7º
33.5º
44.0º
56.5º
omit
Question 13
How far from the base of the cliff does projectile D strike the ground?
97.5 meters
39.4 meters
30.2 meters
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