A tennis player serves a tennis ball such that it is moving horizontally when it

Question

A tennis player serves a tennis ball such that it is moving horizontally when it leaves the racquet. When the ball travels a horizontal distance of 19 m, it has dropped 59 cm from its original height when it left the racquet. What was the initial speed of the tennis ball? (Neglect air resistance.) A tennis player serves a tennis ball such that it is moving horizontally when it leaves the racquet. When the ball travels a horizontal distance of 19 m, it has dropped 59 cm from its original height when it left the racquet. What was the initial speed of the tennis ball? (Neglect air resistance.)

Explanation / Answer

here,

h = 0.59 m

d = 19 m

Time of flight = sqrt(2h/g)

Time = sqrt(2* 0.59/9.8)

Time = 0.346 s

then

Speed = distance/time

Speed = 19 /.346

speed = 54.91 m/s

initial speed of the tennis ball was 54.91 m/s

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