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. W

Question

3 months ago

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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. W

hat 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

Mathematics

2 answers:

zzz [12.3K] · Answer 1 · 2026-02-17T06:46:56+03:00

zzz [12.3K]3 months ago

7 0

Answer: A

Step-by-step explanation:

PIT_PIT [12.4K] · Answer 2 · 2026-02-17T06:46:28+03:00

Answer: The variable t stands for the number of seconds since the rocket was launched.

Step-by-step explanation:

Given:

The rocket's height over time is represented by the equation:

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

Here, the variable t denotes the elapsed seconds after the rocket's release.

The initial velocity can be found by differentiating the height function with respect to time:

$h\left ( t\right )$

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

Evaluating at t=0:

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

Therefore, the rocket's initial velocity is 32 units per second.