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

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

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.