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 23.0 m/s at an angle 28.0 degrees; with respect to the horizontal. Sarah catches the ball 1.5 meters above the ground
4) What is the distance between the two girls?

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 22.0 m/s when it reaches a maximum height of 8.0 m above the ground.
What is the speed of the ball when it leaves Sarah's hand?

Explanation / Answer

Horizontal component of velocity, vcos = 8 m/s
max height, v^2 sin^2 /2g = (11-1.5) = 9.5

v^2 sin^2 = 186.2

v^2 sin^2 + (vcos)^2 = v^2

v = 15.81 m/s

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