Question
The height $h$ in feet of a model rocket above the ground $t$ seconds after lift-off is given by $h(t)=-5 t^{2}+100 t,$ for $0 \leq t \leq 20 .$ When does the rocket reach its maximum height above the ground? What is its maximum height?
Step 1
This is a quadratic equation in the form of $ax^2+bx+c$, where $a$ is the coefficient of $t^2$, $b$ is the coefficient of $t$, and $c$ is the constant term. In this case, $a=-5$ and $b=100$. Show more…
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