A rock falls from a tower that is 240 feet high As it is fal

A rock falls from a tower that is 240 feet high. As it is falling, its height is given by the formula h = 240 - 16t^2. How many seconds will it take for the rock to hit the ground (h=0)? Round your answer to the nearest tenth, if necessary.

Solution

h(t)= 240-16*t²

after \'t\' seconds of falling it(rock) reaches ground where h(t) becomes equal to zero

  240-16*t² = 0

t = (240/16)^1/2

^{t = 3.88 seconds where rock touches the ground}