Justin and Elena each launched a toy rocket into the air. The height of Justin’s rocket is modeled by the equation h is equal to negative 16 t squared plus 60 t plus 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? h of t is equal to A t squared plus v t plus h sub 0

In the model h(t) = at² + vt + h₀, the initial velocity is the coefficient of t, and the starting height is the constant term. Justin’s initial velocity is 60 and his rocket starts at height 2, so Elena’s doubled initial velocity is 120 while her starting height remains 2. The gravitational coefficient −16 also stays the same, giving h(t) = −16t² + 120t + 2, choice B.

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