Question

If a baseball that has been hit by a batter is following the parabolic equation h(d) = -1/250(d - 160)^2 + 105, will the baseball clear an outfield wall that is 20 feet high and 300 feet from the batter?

          If a baseball that has been hit by a batter is following the parabolic equation h(d) = -1/250(d - 160)^2 + 105, will the baseball clear an outfield wall that is 20 feet high and 300 feet from the batter?
        

Added by Rebecca R.

Physics
Physics
Robert Resnick, David Halliday, Kenneth… 5th Edition
Chapter 4
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If a baseball that has been hit by a batter is following the parabolic equation h(d) = -1/250(d - 160)^2 + 105, will the baseball clear an outfield wall that is 20 feet high and 300 feet from the batter?
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Transcript

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00:01 So here we're talking about parabolas, and we have the following parabolic equation, right? h of d, and h of d is equal to minus 1 over 250 outside of d minus 160 squared plus 105.
00:19 So h of d means that distance gives you height, right? it's a function that takes distance and gives you height.
00:30 So what i want to do is calculate the height at 300.
00:34 I want to calculate the height of 300, and then i want to compare this to the height of the wall...
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