A rocket is launched from rest and moves in a straight line at $40\mathrm{.}0$ degrees above the horizontal with an acceleration of $60\mathrm{.}0\frac{m}{s^2}.$ After $30\mathrm{.}0s$ of

powered flight, the engines shut off and the rocket follows a parabolic path back to earth.

Find the time of flight from launch to impact.

What is the maximum altitude reached?

What is the horizontal distance between the launch pad and the impact point?