MAT 121-024 & 24C Fall 2017 (Duyen H Dangl ahmed almofti 1003/ 17 3 26 Homework:

Question

MAT 121-024 & 24C Fall 2017 (Duyen H Dangl ahmed almofti 1003/ 17 3 26 Homework: 3.3 Score: 0 of 1 pt .3.43 A toy rocket is shot vertically into the air from a launching pad 6 foet above the ground with an initial velocity of 32 feet per second. The Save HW Score: 46 67% 7 of 15 pts 12 of 15 (8 Help height h, in foet, of the rocket above the ground at t seconds afer launch is given by the function he) -10+32t+6.How long will i ake the rocket to reach its maximum height? What is the maximum height? Simpity your answer ) Clear All O Type here to search 0 D

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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