Holly fired a cannon. The cannon ball was shot from 2 feet above the ground. 0.1 seconds later, it was 33 feet above the ground. At 0.2 seconds, it was 22 feet above the ground. The cannon ball’s trajectory follows a parabolic path: f(x) = ax2 + bx + c

Determine the coefficients a, b, and c.

Use the Pythagoreal Theorem: If the target was at ground level how long did it take the cannon ball to reach the target?
Round to the nearest hundredth:

_ seconds