Justin and Elena each launched a toy rocket into the air. The height of Justin’s rocket is modeled by the equation h = –16t2 + 60t + 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(t) = at2 + vt + h0

In the model h = 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, so Elena’s is double, or 120; launching from the same position keeps the starting height at 2. The gravity coefficient remains −16, giving h = −16t² + 120t + 2, choice D.

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