Midair Propulsion

We launch a projectile at an angle \(\theta = {{ params_theta }}^{\circ}\) in degrees and speed \(v_0 = {{ params_v }}\ \rm{m/s}\) 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 \(\rm{m/s^2}\), where t is the time since the rocket turned on. Find the range it travels over the flight duration.

Part 1

What is the maximum height the projectile will reach in ?

Answer Section

Please enter in a numeric value in .

Part 2

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

Answer Section

Please enter in a numeric value in .

Part 3

What is the range of travel for the projectile in ?

Answer Section

Please enter in a numeric value in .

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.