You launch a model rocket from ground level. It moves directly upward with a constant acceleration of $76\mathrm{.}5\frac{m}{s^2}$ for $1\mathrm{.}35$ seconds, at which point it runs out of fuel. Assuming air resistan on the rocket is negligible, what is the maximum altitude $($above the ground$)$ in meters achieved by the rocket?

Think about the following: Can you find the distance the rocket travels while its engine is on with the given information? Can you then find the distance from the point where the engines $r$ out of fuel to the highest point? What is the final velocity after the initial acceleration period? How can you use this to find the distance traveled while the engines are off? What is the acceleration when the engines are off? What is the rocket's velocity, momentarily, when it reaches the maximum altitude? $m$