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 16 m/s at an angle 41 degrees; with respect to the horizontal. Sarah catches the ball 1.5 meters above the ground.

5)After catching the ball, Sarah throws it back to Julie. The ball leaves Sarah's hand a distance 1.5 meters above the ground, and is moving with a speed of 16 m/s when it reaches a maximum height of 8 m above the ground.
What is the speed of the ball when it leaves Sarah's hand?

Distance between the two girls is 25.85 m.

Explanation / Answer

ucos=11

Hmax=10-1.5=8.5m

u^2/2g sin^2=8.5

u^2sin^2=166.6

u^2cos^2=121

addign both

u^2=287.6

u=19.96m/s

velocity of ball while leaving from sarah is 16.96m/s

time of flight=2u/g

=2*16.96/9.8=3.461seconds

height at 3.461seconds

s=usint+1/2at^2

=16.95*3.461-4.9*3.461^2=6.29m-1.5=4.81m from ground

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