Question

A toy rocket is shot vertically into the air from a launching pad 8 feet above the ground with an initial velocity of 136 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+136t+8 . How long will it take the rocket to reach its maximum​ height? What is the maximum​ height? Simplify your answer.

Answer 1

Explanation:

h=-16t^2+136t+8 For this quadratic a = -16 b= 136 c = 8

will reach max height at t = - b/2a = - 136/ (2*-16) = 4.25 s

Plug in 4.25 into the equation for 't' to find max height = 297 ft