Answered

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

Verified Answer :

shdaigle2

D.) h = –16t2 + 120t + 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.

Related Questions