Question

the function y= -16t^2 + 248, models the hight y in feet of a stone t seconds after it dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground?

Answer 1

`t \: = 3.92 \: sec`

Explanation:

When (t =0)

Height of cliff = 248 feet = 75.5m

Using Newton's equations of motion:

`s = ut + (1)/(2) a {t}^(2)`

75.5 = 0 * t + 4.9 * t^2

Solving further :

`t \: = 3.92 \: sec`