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 m?
Answer Section#
Please enter in a numeric value in m.
Part 2#
How long will it take the projectile to reach this height in s?
Answer Section#
Please enter in a numeric value in s.
Part 3#
What is the range of travel for the projectile in m?
Answer Section#
Please enter in a numeric value in m.
Attribution#
Problem is licensed under the CC-BY-NC-SA 4.0 license.