A softball is hit over a third baseman\'s head with speed v 0 and at an angle ?

Question

A softball is hit over a third baseman's head with speed v0 and at an angle ? from the horizontal. Immediately after the ball is hit, the third baseman turns around and runs straight back at a constant velocity V=7.00m/s, for a time t=2.00s. He then catches the ball at the same height at which it left the bat. The third baseman was initially L=18.0m from the location where the ball was hit at home plate.

(1) Find a vector expression for the velocity

r? of the softball 0.100 s before the ball is caught.

Explanation / Answer

Let the x axis be the line from home through third base
Let the height above bat be Z

First find how far the ball tralled in x direction.

X =Xo + V t
X =18 + 7 * 2
X =32mfrom home plate

t =2secs

Vx = 32 / 2m/s
16m/s

Know consider component of velocity in vertical direction
Z = Zo + Vzo*t + 0.5 * Az * t^2
Z = 0 + Vzo*t + 0.5* -9.8 * t^2

But when the ball is caught Z = 0
Vzo*t + 0.5* -9.8 * t^2 = 0

t(Vzo

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