hits a golf ball from the ground with a force of 96 ft/sec. Instead of landing on the ground, the ball hits a tree at a height of 65 feet. How long was the golf ball in the air when it hit the tree?

Answer 1

65 = -16t^2 + 96t

16^2 - 96t + 65 = 0

t^2 - 6t +95/16 = 0

t = 6/2 + (1/2)sqr(36-4(95/16)) = 3 + (1/2) = 3 + 3.5/2 = 3+1.75 = 4.75 seconds to hit 65 feet high

or 1.25 seconds to reach 65 feet on the way up.

at 4 seconds it reaches a maximum height of 128 feet, 3/4 second later, it hits the tree