pre clac math help

Question

NASA launches a rocket at  seconds. Its height, in meters above sea-level, as a function of time is given by . Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after blank seconds

How high above sea-level does the rocket get at its peak? 

The rocket peaks at blank meters above sea-level.

Answer 1

For a quadratic function f(x) = Ax² + Bx + C with A < 0, the maximum value of f(x) occurs when x = -B/(2A).

So, for h(t) = -4.9t² + 106t + 241, the maximum height occurs when t = -106 / (2(-4.9)) = 10.81632653

maximum height = h(10.81632653) = 814.27 meters

The rocket hits the water when h(t) = 0 (use the quadratic formula to answer this question)