Famous tennis player Venus Williams serves a tennis ball from the baseline of th

Question

Famous tennis player Venus Williams serves a tennis ball from the baseline of the tennis court toward the net, 12 meters away. The ball is initially 2.2 m above the ground and is hit horizontally with an initial speed of 40 m/s. How long after the ball is struck does it reach the net? When it reaches net, what is the vertical component of the velocity of the ball? Does the ball make it over the net? If it does, how high above the net does it go? If not, how far below the top of the net does it hit it?

Explanation / Answer

a) x = Vx * t

t = x/Vx

t = 12 m / 40 m/s

t = 0.3 s

b) Vy = Voy - gt

But Voy = 0 so:

Vy = -gt

Vy = -9.78 m/s2 * 0.3

Vy = 2.934 m/s

c) y = gt2/2

y = 9.78 * 0.32 / 2

y = 0.44 m

This means that it does not make it over the net (assuming the net is 1 m high)

Hope this helps

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