Answer
$h(t)= 0.75t^2+5t+12$
$h(6)=69 cm$
Work Step by Step
$\frac{dh}{dt}$=1.5t+5
dh=(1.5t+5t)dt
h(t)=0.75$t^2$+5t+c
h(0)=0+0+12
h(0)=12
h(6)=69 cm
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