Question

The expression 16t power 2 represents the distance in feet an object falls after t second a. Write an expression representing the height of the object t seconds after it is dropped b. What is the height of subject 3 seconds after this dropped

Answer 1

`H(t) = 16t^2`

Height 3 seconds after is 144ft

Explanation:

Given

Expression: 16t power 2

Solving (a): Write as an algebraic expression.

Let H represent the height after t seconds.

So, we have:

`H(t) = 16t^2`

Solving (b): The height after 3 seconds

This implies that:

`t = 3`

Substitute 3 for t in
`H(t) = 16t^2`

`H(3) = 16 * 3^2`

`H(3) = 16 * 9`

`H(3) = 144`

Hence, the height is 144ft