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

Answer:

$h(t)=-16t^{2}+120t+2$

Step-by-step 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

$h(t)=-16t^{2}+120t+2$

Answer 2

Answer:

d on edg

Step-by-step explanation: