Question

Justin and Pedro each launched a toy rocket into the air. The height of Justin’s rocket is modeled by the equation h = –16t2 + 60t + 2. Pedro launched his rocket from the same position, but with an initial velocity double that of Justin’s. Which equation best models the height of Pedro’s rocket?

Answer 1

Well if he has doubled Justin's rocket the equation for this would be 2(16t2+60t+2).

Answer 2

Equation of Pedro's rocket

`h= -16t^2+120t+2`

Equation of Pedro's rocket
`h= -16t^2+120t+2`

Explanation:

`h= -16t^2+60t+2`

on comparing the given equation with general equation

`h= -gt^2+vt+h_(0)`

we get v = 60 feet /second which is the speed of Justin's rocket.

Speed of Pedro's rocket = double of Justin's rocket

= 2(60 ) = 120 feet second

therefore equation for Pedro will be given by

`h= -16t^2+120t+2`