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 function $h(t)=- 16t^{2}+32t + 10$ models the height of the rocket. In a function of the form $h(t)$ where $h$ is related to height and $t$ is a variable in the function, $t$ represents the independent - variable. Here, it is stated that the height is modeled for a given number of seconds after the rocket is released, so $t$ represents the number of seconds after the rocket is released.

Answer:

the number of seconds after the rocket is released