Question

A competition motorcycle hill-climb course is designed such that its path follows(always in the x-y plane, starting at the origin x = y = 0) the mathematical form Y = Ax^3+ Bx^2, with A and B known positive constants, and x >or equal to  0. A motorcyclist (total mass ofmotorcycle + rider = M) equipped with a GPS follows the course and keeps the x-component of velocity (that is what a typical GPS indicates as "speed") absolutelyconstant at vo.a) Determine the units of A and B.b) What instantaneous power must the motorcycle engine produce, as a function of xposition (for all x > 0), to perform this hill climb? You should treat the motorcycle as apoint particle, for which the kinetic energy is strictly translational. Uniform gravity g ispresent.

Answer 1