Question

A girl drops a ball off a cliff into the ocean. The polynomial −8t2+350 gives the height, in feet, of the ball t seconds after it is dropped from a 350ft tall cliff. Find the height, in feet, after t=2 seconds.

Answer 1

318 feet.

Explanation:

We have been given that a girl drops a ball off a cliff into the ocean. The polynomial
`h(t)=-8t^2+350` gives the height, in feet, of the ball t seconds after it is dropped from a 350 ft tall cliff. We are asked to find the height in feet after 2 seconds.

To find the height after 2 seconds, we will substitute
`t=2` in our given equation as:

`h(2)=-8(2)^2+350`

`h(2)=-8(4)+350`

`h(2)=-32+350`

`h(2)=318`

Therefore, the height will be 318 feet after 2 seconds.