Question

A toy rocket is shot vertically into the air from a launching pad 4feet above the ground with an initial velocity 96of 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=-16t^2+96+4 . How long will it take the rocket to reach its maximum​ height? What is the maximum​ height?

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Part 1

The rocket will reach its maximum height ? after launch

​(Simplify your​ answer.)

Part 2

The maximum height reached by the object is ?

​(Simplify your​ answer.)

Answer 1

Explanation:

Height = - 16 t^2 + 96 t + 4

max will occur at t = - b/2a = - 96/(2*-16) = 3 seconds

The max height at t = 3

Height = -16 (3^2) + 96 (3) + 4 = 148 ft