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**hydride** A ballet dancer jumps in the air. The height, $\displaystyle h(t)$, in feet, of the dancer at time $\displaystyle t$, in seconds since the start of the jump, is given by$\displaystyle ^4$.

$\displaystyle h(t) = -16t^2 + 16Tt$

where $\displaystyle T$ is the total time in seconds that the ballet dancer is in the air.

Show that the time, $\displaystyle T$, that the dancer is in the air is related to $\displaystyle H$, the maximum height of the jump by the equation:

$\displaystyle H = 4T^2$

Thanks a whole bunch!