The height should you drop an object in order for it to have a velocity of 80 ft/sec is: 99.4 feet.
V = √2ha
80=√2(h)32.2
80²=√2(t) (32.2)²
6400=2(t) (32.2)²
Divide both sides by 32.2 to get 2t
6400/32.2=2(t) (32.2)/32.2
198.75776397=2(t)
Divide both sides by 2 to get t
198.75776397/2=2(t)/2
Hence,
99.4 feet
Therefore the height should you drop an object in order for it to have a velocity of 80 ft/sec is: 99.4 feet.
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