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2. A cannon fires a ball with a velocity of 50 m/s at an angle 20° above the hor

ID: 776769 • Letter: 2

Question

2. A cannon fires a ball with a velocity of 50 m/s at an angle 20° above the horizontal. If it's firing on level ground, how far from the cannon will the ball land? A ball thrown horizontally at 22 m/s travels a horizontal distance of 48 m before hitting the ground. From what height was it thrown? 3. A cliff diver jumps off a 15 m high cliff. If he takes a running start and jumps off the edge with a speed of 6 m/s at an angle of 10° above the horizontal, answer the following questions: 4. How long does it take him to hit the water? How far does he travel horizontally away from the cliff before he hits the water? a. b. 5. A shark is launched from a cannon toward a ciff with a speed of 32 m/s and an angle of 60 above horizontal. It lands on the edge of the cliff 3.7 s later. a. How high is the cliff? b. What is the maximum height the shark reaches? c. What is the shark's impact speed when he lands?

Explanation / Answer

2)

Given v0 = 50m/s

th = 20 degrees

Use the projectile formula to find the the horizontal distance(range) at which the ball will land.

R = v02sin(2th)/g

= 502 sin(2*20)/9.8

= 163.98 m