ball of mass 0.3 kg, initially at rest, is kicked directly toward a fence from a point 20 m away, as shown below. The velocity of the ball as it leaves the kicker’s foot is 17 m/s at angle of 47 ◦ above the horizontal. The top of the fence is 6 m high. The ball hits nothing while in flight and air resistance is negligible. The acceleration due to gravity is 9.8 m/s2 (meters/seconds/squared). 1) How far above the top of fence will the ball pass? Consider the diameter of the ball to be negligible. Answer in units of m. 2) What is the vertical component of the velocity when the ball reaches the plane of the fence? Answer in units of m/s.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...
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A ball of mass 0.3 kg, initially at rest, is kicked directly toward a fence from a point 20 m away, as shown below. The velocity of the ball as it leaves the kicker’s foot is 17 m/s at angle of 47 ◦ above the horizontal. The top of the fence is 6 m high. The ball hits nothing while in flight and air resistance is negligible. The acceleration due to gravity is 9.8 m/s2 (meters/seconds/squared).

1) How far above the top of fence will the ball pass? Consider the diameter of the ball to be negligible. Answer in units of m.

2) What is the vertical component of the velocity when the ball reaches the plane of the fence? Answer in units of m/s.     

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