Serena Willliams hits a ball 1.95 m above the ground. The ball leaves her racquet with a speed of 18 m/s at an angle of 3° 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).
Serena Willliams hits a ball 1.95 m above the ground. The ball leaves her racquet with a speed of 18 m/s at an angle of 3° 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).
Given: initial speed u =18 m/s
initial vertical position yo= 1.95 m
angle made above the horizontal θ =3°
horizontal distance to the net = 7.0 m
To find: The distance (in m) between the ball and the top of the net at the moment the ball reaches the net
Solution:
Step1: Let us first calculate the time taken by the ball.
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