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

Question

) A softball is hit over a third baseman's head with some speed v0 at an angle ? above the horizontal. Immediately after the ball is hit, the third baseman turns around and begins to run at a constant velocity V=7.00m/s. He catches the ballt=2.00s later at the same height at which it left the bat. The third baseman was originally standing L=18.0m from the location at which the ball was hit.

Part A

Find v0. Use g=9.81m/s2 for the magnitude of the acceleration due to gravity.

Part B

Find the angle ? in degrees.

Express your answer numerically in degrees to three significant figures.

Explanation / Answer

horizontal distancec of projection

Sx = 18 +(2*7) = 32 m

time of flight =2 sec

Ux of projection = 32/2 = 16 m/s

t=2 = 2*Uy/g

Uy = 9.81 m/s

Vo initial velocity of projection = 18.77 m/s

angle = 31.51 degrees above horizontal

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