T 121-024 &24C-Fall 2017 (Duyen H Dang) Homework: 3.3 Score: 0 of 1 pt 3.3.43 12

Question

T 121-024 &24C-Fall 2017 (Duyen H Dang) Homework: 3.3 Score: 0 of 1 pt 3.3.43 120115(8 complete) Score: 46 67%, 7 of 15 pts Help A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 32 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)16 32t 6. How long will i take the rocket to reach its maximum height? What is the maximum height? The rocket reaches its maximum height at second(s) after launch (Simplify your answer.) Enter your answer in the answer box and then click Check Answer Clear All part remaining 10/3/2017

Explanation / Answer

To find maximum height,

d(h(t)) /dt = 0

Or, - 32t + 32 = 0

Or, t = 1

Maximum height, h(1)= - 16 + 32 + 6 = 22

The rocket reaches its maximum height at 1 second after its launch.

The maximum height is 22 feet

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