Question

A ball is dropped from a treetop 256 feet above the ground. How long does it take to hit the ground? (s = 16t2)

Answer 1

4

Explanation:

Given : A ball is dropped from a treetop 256 feet above the ground.

Formula:
`s=16t^(2)`

To Find :Time taken to hit the ground

Solution

formula given:

`s=16t^(2)`

s denotes the total distance

t denotes the total time

Since we are given that ball is dropped from a treetop 256 feet above the ground i.e. s = 256

put value s in the formula to find value of t(total time taken to hit the ground.

`256=16t^(2)`

⇒
`(256)/(16) = t^(2)`

⇒
`16 = t^(2)`

⇒
`\sqrt[2]{16} = t`

⇒
`4= t`

Thus, Total time taken to hit the ground is 4