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$t$ 1 3 8 12 15
$h$ 3 6 9 7 5



A particle moves vertically up and down. The height, $h$ (in feet), of a particle for various times, $t$ (in seconds), is provided in the table above. We know that $h(t)$ is a differentiable function.

Does the particle stop moving sometime between $1 \leq t \leq 15$? Justify your answer.

A

The particle does not stop moving because all the values are positive.

B

The particle does not stop moving because no value in the table is zero.

C

The particle does stop moving because the velocity is zero for some $t$ on $3 \leq t \leq 12$.

D

The particle does stop moving because the height is always positive.

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