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Interpreting Quadratic Word Problem

GRE-XQV4CK

Max throws a ball and its height above the ground in feet is modeled by the equation:

$$h(t)=-2{ t }^{ 2 }+12t+14$$

...where $t$ is the number of seconds after the ball has been thrown. If you were asked to find the number of seconds at which the ball hit the ground, which point would you be looking for?

A

Vertex

B

y-intercept

C

The smaller of the two x-intercepts

D

The larger of the two x-intercepts