Compute each part of given question:
Question: A rocket is moving in a planar trajectory with a velocity v = C(sub1)t3 + C(sub2)t5 j, where C(sub1) and C(sub2) are constants with the correct units, and either C(sub1) or C(sub2) is negative (but NOT both). There is no external source of acceleration: all of the acceleration comes from the rocket's engines.
Part A: Find the time, in terms of C(sub1) and C(sub2), at which the velocity and acceleration are perpendicular to each other.
Part B: Interpret the result: what kind of motion is taking place here? In particular, what would happen if both C(sub1) and C(sub2) were positive?
Include work and exact answer please! Thank you!