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Submitted By prathyusha1

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Words 252

Pages 2

HINTS:

First, use the distance formula distance = rate • time, or d = rt. The diagram provides the distance the ball travels and the horizontal velocity provides the rate. Solve for the time it takes for the ball to get from the pitcher's mound to home plate.

Once you know how long it takes for the ball to reach home plate, you can plug that time into the formula for a projectile, f(t) = -16t2 + vit + hi. The variable vi is the ball's initial vertical velocity and hi is the initial height of the ball.

The question boils down to how high is the ball after 60 ft.

Hmm.. Distance = the integral of velocity.

The distance from the pitchers rubber to home plate is 60 feet and 6 inches, but, in reality, the ball is released about 59 feet from the plate.

Let h be the horizontal velocity and v the vertical velocity.

h(t)=116t

∫116tdt=58t2=59

t is approximately 1 (second)

∫5dt=5t

So the ball started at 6 feet, reached the plate in 1 second still rising and thus was too high to be in the strike zone.…...

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