The maximum height attained by the arrow is 1109 ft.
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.
Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object has covered regardless of its starting or ending point.
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