Arrow is launched upward at 256 feet per second from top of 85 foot building. What is maximum height of arrow?

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

806.5

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