a rope is hanging from the ceiling. a transverse wave travels first down the rope and then back up the rope. is the speed of the wave the same or different in both direction?

Check the following equation for dimensional homogeneity: ⅆ mv=∫t1t2(f⁢cosθ)ⅆt where m is mass, v is velocity, f is force, θ is an angle, and t is time. check that each term in the equation has the following dimensions: [malbec] where you are to choose the coefficients a, b, c.