The next TWO questions apply to the following: A tennis ball has just been hit b

Question

The next TWO questions apply to the following: A tennis ball has just been hit by a tennis racket Adhere being hit, it has an initial velocity of v_0 = 11 m/s directed at 60degree above the horizontal. Air resistance may be neglected when answering the following questions. At its apex (i.e., its maximum vertical height), how much higher is the tennis ball vertically from the point where it was struck by the tennis racket? 5.53 m 4.63 m 1.16 m 1.85 m 1.54 m At its apex, how far has the tennis bail traveled horizontally from the point where it was struck? 11.23 m 6.95 m 5.35 m 9.09 m 13.90 m

Explanation / Answer

8.

consider the motion in vertical direction

Voy = initial velocity in vertical direction = Vo Sin60 = 11 Sin60 = 9.53 m/s

Vfy = final velocity = 0 m/s

a = acceleration = - 9.8 m/s2

h = maximum height

using the equation

Vfy2 = Voy2 + 2 a h

02 = 9.532 + 2 (-9.8) h

h = 4.63 m

9.

vfy = voy + at

0 = 9.53 + (-9.8) t

t = 0.97 sec

distance travelled along X-direction

X = Vo Cos60 t = 11 cos60 (0.97) = 5.35 m

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