SOLUTION: formula for arc of a baseball h=-0.003x2(to 2nd power)+ 1.202x + 3.936
h-height of ball at distance from plate x If fence is 400ft from home plate and 8ft high, will the ba
Question 93157: formula for arc of a baseball h=-0.003x2(to 2nd power)+ 1.202x + 3.936
h-height of ball at distance from plate x If fence is 400ft from home plate and 8ft high, will the ball clear the fence to be a home run?
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You can put this solution on YOUR website! Given:
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This equation gives the height of the ball when the ball is x feet from home plate.
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So when x is 400 feet (the distance from home plate to the fence) the height of the ball
is found by substituting 400 for x to get:
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The rest is just calculator work. Note that and if you substitute
that the equation is:
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Do the two multiplications on the right side and you get:
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Then do the additions on the right side and the answer is:
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How do you interpret this negative answer? The answer is that the ball hits the ground
even before it reaches the wall. In fact, if the ground did not stop it, the ball would
be 27.264 feet below ground level when it reached the 400 feet length to the wall.
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So that’s the answer … the ball doesn’t even come close to clearing the wall. If you
want to know how far from the plate the ball hits the ground, you can use the given
equation to find the distance. Set h = 0 and solve for x. Since this isn’t part of the problem,
you can try it and see if you can solve the equation for x. The answer is you should get is
378.87 feet. So the ball falls more than 21 feet short of even reaching the fence, and it
isn’t even close to clearing the 8 foot fence.
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Hope this helps you to understand the problem.
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