The equation y = -6t^2 + 51t describes the height (in feet) of a projectile launched from the surface of Mars at 51 feet per second. In how many seconds will the projectile first reach 118 feet in height?
-6t^2 + 51t = 118
-6t^2 + 51t - 118 = 0 multiply through by -1
6t^2 - 51t + 118 = 0
The discriminant = 51^2 - 4*6 * 118 = -231
So......this never occurs....see the graph here : https://www.desmos.com/calculator/nbovxklqyd
The max height reached is ≈ 108 ft
