Answer:
Option D - [tex]h=-16t^2+120t+2[/tex]
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 [tex]h=-16t^2+60t+2[/tex].
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?
[tex]h(t) = at^2+vt+h_0[/tex]
Solution :
Height of Justin rocket , [tex]h=-16t^2+60t+2[/tex]
Comparing with [tex]h(t) = at^2+vt+h_0[/tex]
a=-16 , v=60 , [tex]h_0=2[/tex]
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,
[tex]h=-16t^2+2(60)t+2[/tex]
[tex]h=-16t^2+120t+2[/tex]
Height of Pedro's rockets is [tex]h=-16t^2+120t+2[/tex]
Therefore, Option D is correct.
