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

Question

ulie 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 m/s at an angle 27 degrees; with respect to the horizontal. Sarah catches the ball 1.5 meters above the ground.

1)

What is the horizontal component of the ball’s velocity when it leaves Julie's hand?m/s

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2)

What is the vertical component of the ball’s velocity when it leaves Julie's hand?m/s

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3)

What is the maximum height the ball goes above the ground?

Explanation / Answer

1)
Horizontal component = 23 * cos 27
= 20.5 m/s
2)
Vertical component = 23 * sin 27
=10.4 m/s

3)
Consider only the vertical motion of ball to calculate the mac height.
Vf^2 = vi^2 - 2*g*h'
0 = 10.4^2 - 2*9.8* h'
h' = 5.5 m
This is the height measured from where the ball is thrown.

Height from ground = 1.5 m + 5.5 m = 7 m

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