A rock falls from a tower that is 208 feet high As it is fal

A rock falls from a tower that is 208 feet high. As it is falling, its height is given by the formula h = 208 - 16 t^2. How many seconds will ir take for the rock to hit the ground (h = 0)? 13.6 sec 2704 sec 3.6 sec 14.4 sec

Solution

The tajectory of the rock\'s fall is given by h = 208- 16t² . If the rock hits the ground after t seconds, then 0 = 208- 16t² or, 16t² = 208 or, t² = 208/16 = 13. Then t = 13 = 3.60555 seconds say, 3.6 seconds. Thus, the rock will hit the ground after 3.6 seconds The 3rd option is the correct answer.