Apentix/AP Calculus AB/Unit 4: Contextual Applications of Differentiation/Question

AP Calculus ABmediummcq1 pt

A rocket's height after $t$ seconds is $h(t)=-16t^2+256t+40$ feet. What is its maximum height?

A.

1064

ft

B.

1024

ft

C.

808

ft

D.

40

ft

Explanation

Core Concept

The rocket peaks when $v(t)=h'(t)=-32t+256=0$ , at $t=8$ . Its height is $h(8)=-16(64)+256(8)+40=1064$ feet.

Correct Answer

A $1064$ ft

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