ustin 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?

Question

jimthompson5910 · Answer

In general, we can say
h = -16t^2 + v*t + s
is the equation of projectile motion

where,
v = initial or starting velocity
s = starting height

For Justin's rocket, we have:
v = 60
s = 2

jimthompson5910 · Answer

I should point out that h = -16t^2 + v*t + s only applies if you are working in feet, and not meters.

supie · Answer

$$h(t)=16t^2+60t+2$$ That is the equation for the height of Justin’s rocket

coefficient of t^2 is for  acceleration 
$$a-16$$
coefficient of t is for velocity

the constant of the equation represent  the initial height

he launched his rocket from the same position, but accompanied by an initial velocity x2 that of Justin’s

So the initial velocity is$$v=60(2)=120$$
height of Elena’s rocket$$h(t)=-16t^2+120t+2$$

I think I'm not 100% sure though.

jimthompson5910 · Answer

That's correct supie

Anyoumous · Answer

Thank you guys so much

supie · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @jimthompson5910
That's correct supie
$\color{#0cbb34}{\text{End of Quote}}$
Oh ok thanks.

jimthompson5910 · Answer

No problem

supie · Answer

@cococameron asked the question but np