Solve.
-An arrow is fired into the air with an initial velocity of 160 feet per second. The height in feet of the arrow t seconds after it was shot into the air is given by the function $h ( t ) = - 16 t ^ { 2 } + 160 t$. Find the maximum height of the arrow.
A) $1200 \mathrm { ft }$
B) $720 \mathrm { ft }$
C) $400 \mathrm { ft }$
D) $80 \mathrm { ft }$

Question

Quizplus · Accepted Answer

The maximum height of the arrow is found at the vertex of the parabola described by the function $h(t) = -16t^2 + 160t$. The vertex occurs at $t = -\frac{b}{2a}$, where $a = -16$ and $b = 160$. Calculating this gives $t = 5$. Substituting $t = 5$ into the function gives $h(5) = -16(5)^2 + 160(5) = 400$ feet.

Solve -An Arrow Is Fired into the Air with an Initial

Solve
-An Arrow Is Fired into the Air with an Initial