Serena Willliams hits a ball 2.15 m above the ground. The ball leaves her racquet with a speed of 18 m/s at an angle of 8° above the horizontal. The horizontal distance to the net is 7.0 m and the net is 1.0 m high. Assuming that the local acceleration due to gravity is 9.80 m/s2, determine the distance (in m) between the ball and the top of the net at the moment the ball reaches the net (positive - the ball is above the net and negative - the ball is below the net).

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Serena Willliams hits a ball 2.15 m above the ground. The ball leaves her racquet with a speed of 18 m/s at an angle of 8° above the horizontal. The horizontal distance to the net is 7.0 m and the net is 1.0 m high. Assuming that the local acceleration due to gravity is 9.80 m/s2, determine the distance (in m) between the ball and the top of the net at the moment the ball reaches the net (positive - the ball is above the net and negative - the ball is below the net).

Expert Solution
Step 1

Given:- 

The height from the ball hit is h = 2.15 m above the ground 

The initial speed of the ball is u = 18 m/s 

The angle of the hit on the ball is  8° above the horizontal.

The horizontal distance to the net is x = 7.0 m

the height of net from the ground is y = 1 m 

Find:- 

Determine the distance (in m) between the ball and the top of the net at the moment the ball reaches the net?

 

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