A home run is hit in such a way that the baseball just clears awall 21 m high, l

Question

A home run is hit in such a way that the baseball just clears awall 21 m high, located 130 m from home plate. The ball is hit atan angle of 35° to the horizontal, and air resistance isnegligible. (Assume that the ball is hit at a height of 1.0 m abovethe ground.) (a) Find the initial speed of the ball.
1 m/s

(b) Find the time it takes the ball to reach the wall.
2 s

(c) Find the velocity components of the ball when it reaches thewall. x-component 3 m/s y-component 4 m/s Find the speed of the ball when it reaches the wall.
5 m/s (a) Find the initial speed of the ball.
1 m/s

(b) Find the time it takes the ball to reach the wall.
2 s

(c) Find the velocity components of the ball when it reaches thewall. x-component 3 m/s y-component 4 m/s Find the speed of the ball when it reaches the wall.
5 m/s x-component 3 m/s y-component 4 m/s

Explanation / Answer

(a) Find the initial speed of the ball.
1 m/s from theproblem maximum height=20m
range=260m
we know that u*usin235/2*9.8=20
from this u=34.60m/sec

(b) Find the time it takes the ball to reach the wall.
2 s
time of ascent=usin35/9.8=34.6*0.5735/9.8=2.024sec

(c) Find the velocity components of the ball when it reaches thewall.

X component=ucos35=34.6*0.8191=28.34m/sec
y component=0 m/sec
x-component 3 m/s y-component 4 m/s Find the speed of the ball when it reaches the wall.
5 m/s
28.34m/sec


x-component 3 m/s y-component 4 m/s

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