When does the ash projectile reach the its maximum height t

Question

Assignment

E is a volcano. During a recent eruption, the volcano spewed copious amounts of ash. One small piece of ash was ejected from the volcano with an initial velocity of 368 ft/sec. The height H, in feet, of our ash projectile is given by the equation:

H = -16t² + 368 t, y=-16x + 368x

Where t is the time in seconds. The graph of this equation will be a parabola. We will assume that the volcano has no height. In other words, when H=0 at t=0.

Question 1. When does the ash projectile reach the its maximum height? t=?

Question 2. What is its maximum height?

Question 3. When does the ash projectile return to the ground?