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?
h(t) = at2 + vt + h0

h = –16t2 + 60t + 4
h = –32t2 + 120t + 4
h = –32t2 + 60t + 2
h = –16t2 + 120t + 2

Answer 1

D.) h = –16t2 + 120t + 2

Answer 2

Answer:

Option D - $h=-16t^2+120t+2$

Step-by-step explanation:

Given : Justin and Pedro each launched a toy rocket into the air. The height of Justin’s rocket is modeled by the equation $h=-16t^2+60t+2$.

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

To find : Which equation best models the height of Pedro’s rocket?  

$h(t) = at^2+vt+h_0$

Solution :

Height of Justin rocket , $h=-16t^2+60t+2$

Comparing with $h(t) = at^2+vt+h_0$

a=-16 , v=60 , $h_0=2$

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

Velocity is double i.e, v=2v

Substitute in equation we get,

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

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

Height of Pedro's rockets is $h=-16t^2+120t+2$

Therefore, Option D is correct.