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A wayward puppy leaves home at $t=0.0 \text{ }s$ and moves along a straight path, with a varying velocity. The velocity of the puppy, in $m/s$, is given by the function $v(t) = -0.036{t}^{2}+1.2t$, where $t$ is measured in seconds.

When, if ever, does the puppy return home?

A

$t=10s$

B

$t=17s$

C

$t=34s$

D

$t=50s$

E

The puppy never returns home.

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