Question

The height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 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

Answer 1

Answer: A

Explanation:

Answer 2

Answer:The number of seconds after rocket is released

Explanation:

Given

The height of a rocket after it is released is modeled by

`h\left ( t\right )=-16t^2+32t+10`

Here t represent the number of seconds after the rocket is released.

Initial velocity can also be determined by this equation by differentiating the
`h\left ( t\right )` w.r.t time

`\frac{\mathrm{d}h(t)}{\mathrm{d} t}=-32t+32`

at t=o

`\frac{\mathrm{d}h(t)}{\mathrm{d} t}=32`

thus initial velocity will be 32 units/s