Famous tennis player Venus Williams serves a tennis ball from the baseline of th
ID: 1422407 • Letter: F
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 docs, how high above the net docs it go? If not, how far bellow the top of the net docs it hit it?Explanation / Answer
a) t = 12/40 = 0.3 s
b) vertical velocity = gt = 9.8*0.3 =2.94 m/s
c) vertical distance = s = 0.5gt^2 = 0.5*9.8*0.3^2 = 0.441 m
Height above ground = h = 2.2 - 0.441 = 1.759 m
Height of net = 1.0668 m
As Height above ground > Height of net , so the ball will be over the net by 1.759 - 1.0668 = 0.6922 m
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