If a certain cannon is fired from a height of

Question

7.8 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ time, t, in​ seconds, is found by the function

h(t)=−4.9t2+24.5t+7.8.

What is the maximum height of the cannonball in meters, when is the cannonball at maximum height at in seconds, and when will the cannonball strike the ground at in seconds?

Answer 1

You know how to find the vertex of a parabola. That will give the maximum height.

It hits the ground when h=0. Sol solve that for t.