Question

Justin and Elena each launched a toy rocket into the air. The height of Justin’s rocket is modeled by the equation h = –16t2 + 60t + 2. Elena launched his rocket from the same position, but with an initial velocity double that of Justin’s. Which equation best models the height of Elena’s rocket? h(t) = at2 + vt + h0 h = –16t2 + 60t + 4 h = –32t2 + 120t + 4 h = –32t2 + 60t + 2 h = –16t2 + 120t + 2

Answer 1

d on edg

Explanation:

Answer 2

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

Explanation:

we know that

The height of Justin’s rocket is modeled by the equation

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

This is the equation of a vertical parabola open downward

The vertex is a maximum

where

The coefficient of t^2 represent the acceleration

`a=-16`

The coefficient of t represent the initial velocity

`v=60`

The constant of the equation represent the initial height

`h_0=2`

Remember that

Elena launched his rocket from the same position, but with an initial velocity double that of Justin’s

so

Now the initial velocity is

`v=60(2)=120`

substitute

The height of Elena’s rocket is the equation

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