# Midair Propulsion#

We launch a projectile at an angle 39 in degrees and speed 28 in m/s in a flat plane. At the peak of the projectile motion, a rocket turns on and starts accelerating the projectile in the x-axis according to the function $$a(t) = {{ params.C }} \times t^{{{ params.N }} }$$ in m/s^2. Find the range it travels over the flight duration.

## Part 1#

What is the maximum height the projectile will reach in m?

Please enter in a numeric value in m.

## Part 2#

How long will it take the projectile to reach this height in s?

Please enter in a numeric value in s.

## Part 3#

What is the range of travel for the projectile in m?