algebra quadratic functions

Question

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+367t+262. 

Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? 

The rocket splashes down after _____ seconds. 

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

The rocket peaks at ____ meters above sea-level.

Answer 1

Splash down at h = 0

0 = −4.9t2 + 367t + 262

Can you solve for t and answer? Or do you have a specific question?

Maximum height is at t = - b / 2a, or in this case t = -367 / 2(-4.92)

Can you substitute that value for t and solve for h?