Question

the height of a rocket a given number of seconds after it is released is modeled by $h(t) = -16t^2 + 32t + 10$. what does t represent?

• the number of seconds after the rocket is released
• the initial height of the rocket
• the initial velocity of the rocket
• the height of the rocket after t seconds

Explanation:

The problem defines the function \(h(t)\) as the height of the rocket at a given number of seconds after release. In function notation, the variable inside the parentheses (here \(t\)) is the input representing the quantity described in the context.

Answer:

the number of seconds after the rocket is released