Physics 1C Worksheet #9 - Projectile Motion II 10 Points Name: vx ...

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Worksheet #9 - Projectile Motion II. 10 Points ... Answers: 1. a) vx = 16.2 m/sec vy = 21.6 m/sec, b) 16.2 m/sec c) v = 23.9 m/sec (vx = 16.2 m/sec vy = -17.6 m/sec).
Physics 1C Worksheet #9 - Projectile Motion II 10 Points v x = v cos ✕

v y = v sin ✕

Name: _

x f = x o +v t

_

y f = y o +v t

v f = v o + at

y f = y o + v o t + 12 at 2

1. The flight of Emanuel Zacchini (human cannon ball) over three Ferris wheels is shown below. Each Ferris wheel is 18 m high. Zacchini is launched with an initial velocity of 27 m/sec at an angle of 53o from the horizontal. His initial height is 3 m above ground and he lands in a net 3 m above ground. See diagram. a) Find the initial vx and vy at launch.

b) Find the velocity of Emanuel at maximum height.

c) Find the velocity of the Emanuel at 4.0 seconds. Give v, vx and vy.

d) Find the total time Emanuel is in the air.

e) How far from the cannon should the center of the net be placed?

f) How far above the third Ferris wheel does Emanuel fly?

2 A ball leaves a cliff that is 30 m high (h) with a horizontal velocity. a) Find the time the ball is in the air. h

R b) The ball hits the ground 36 meters from the edge of the cliff (R). Find the initial horizontal velocity of the ball.

c) Find the horizontal velocity the ball must have to travel a range of 50 meters.

3. A golf ball is given an initial velocity of 100 m/sec at an angle of 22o with the horizontal. The golf ball lands on the roof of a building 50 m high (H). a) Compute the initial vx and vy

b) Find the minimum velocity of the golf ball. H

c) Find the maximum height of the golf ball.

d) Find the time the golf ball is in the air. Use y f = y o + v o t + 12 at 2 .

Answers: 1. a) vx = 16.2 m/sec vy = 21.6 m/sec, b) 16.2 m/sec c) v = 23.9 m/sec (vx = 16.2 m/sec vy = -17.6 m/sec) d) 4.4 sec 2. a) 2.47 sec b) 14.6 m/sec c) 20.2 m/sec 3. vx = 92.7 m/sec vy = 37.5 m/sec b) 92.7 m/sec

e) 71.3 m

e) 6.8 to 7 m

c) 72 m

d) 5.9 sec