Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-A model rocket is launched from a raised platform at a speed of 160 feet per second. Its height in fec given by
$h ( t ) = - 16 t ^ { 2 } + 160 t + 20 \quad ( t =$ seconds after launch $)$
What is the maximum height reached by the rocket?
A) 840 feet
B) 420 feet
C) 210 feet
D) 440 feet

Question

Quizplus · Accepted Answer

The maximum height is reached when the velocity is zero. To find the time when the velocity is zero, set $h'(t) = -32t + 160 = 0$ and solve for $t$.$$-32t + 160 = 0$$$$-32t = -160$$$$t = 5$$Then, substitute $t = 5$ into $h(t)$ to find the maximum height.$$h(5) = -16(5)^2 + 160(5) + 20 = 420$$

Write the Word or Phrase That Best Completes Each Statement h(t)=−16t2+160t+20(t=h ( t ) = - 16 t ^ { 2 } + 160 t + 20 \quad ( t =h(t)=−16t2+160t+20(t=

Write the Word or Phrase That Best Completes Each Statement $h ( t ) = - 16 t ^ { 2 } + 160 t + 20 \quad ( t =$