Nateforeman52 Nateforeman52
  • 15-10-2020
  • Mathematics
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Arrow is launched upward at 256 feet per second from top of 85 foot building. What is maximum height of arrow?

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droguzman1 droguzman1
  • 15-10-2020
As arrow rises to its maximum height, its velocity decreases from 256 ft/s to 0 ft/s at the rate of 32 ft/s each second. Use the following equation to determine the distance it rises.

vf^2 = vi^2 + 2 * a * d, vf = 0, a = -32
0 = 256^2 + 2 * -32 * d
64 * d = 65,536
d = 65,536 ÷ 64 = 1024 ft
Maximum height = 85 + 1024 = 1109 ft
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