Ask Your Te My Notas -8 points SerPSET9 4.P 032 MI A home run is hit in such a w

Question

Ask Your Te My Notas -8 points SerPSET9 4.P 032 MI A home run is hit in such a way that the baseball just clears a wall 18.0 m high, located 132 m from home plate. The ball is hit at an angle of 37.09 to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m above the ground.) (a) Find the initial speed of the ball. m/s )Find the time it takes the ball to reach the wall (c) Find the velocity components of the ball when it reaches the wall x-component y-component m/s m/s Find the speed of the bail when it reaches the wall m/s

Explanation / Answer

(A) in horizontal,

x= (v0x) t

132 = v0 cos37 t

v0 t = 132 / cos37

in vertical,

yf - yi = v0y t + ay t^2 / 2

18 - 1 = (v0 sin37) t + (-9.8 t^2 / 2)

17 = (132/cos37)sin37 - 4.9 t^2

t = 4.10 sec

v0 = 132 / 4.10 cos37 = 40.3 m/s

(B) t = 4.10 s

(C) vx = v0x = 32.2 m/s

vy = (40.3 sin37) - (9.8 x 4.10)

vy = - 15.9 m/s

speed = sqrt(vx^2 + vy^2) = 35.9 m/s

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