A particle, moving in a straight line, is subjected to retardation of amount mkv^n per unit mass, where v is the velocity at time to. Show that if n<1, the particle will come to rest at a distance u^2-n/k (2-n) from the point of projection at time t=u^1-n/k (1-n) where u is the initial speed. What happens when 1 <n <2?
