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

ID: 1736710 • Letter: A

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.
m/s

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

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

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

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

Explanation / Answer

(a) Findthe initial speed of the ball.
m/s 70.41m/sec

(b) Find the time it takes the ball to reach the wall.
s 2.256sec

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

x component= ucos35=70.41*cos35=57.61m/sec
Y component= usin35-gt=70.41*sin35-9.8*2.256=18.1472m/sec
x-component m/s y-component m/s

Find the speed of the ball when it reaches the wall.
m/s60.39m/sec

x-component m/s y-component m/s

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