Julie throws a ball to her friend Sarah. The ball leaves Julie\'s hand a distanc

Question

Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 17.0 m/s at an angle 33.0 degrees; with respect to the horizontal. Sarah catches the ball 1.5 meters above the ground.

After catching the ball, Sarah throws it back to Julie. However, Sarah throws it too hard so it is over Julie's head when it reaches Julie's horizontal position. Assume the ball leaves Sarah's hand a distance 1.5 meters above the ground, reaches a maximum height of 9.0 m above the ground, and takes 1.583 s to get directly over Julie's head.
What is the speed of the ball when it leaves Sarah's hand? How high above the ground will the ball be when it gets to Julie?

Explanation / Answer

T=2vsin/g=2.422s

distance d= vcos*T=17.975 m

ucos=d/1.796 = 10s

11=usin*1.796^2/2g=> usin=66.83

dividing we get tan=6.68 , =81.49

velocity =67.57 m/s

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