Question

A body is moved along a straight line by a machine delivering a constant power.How does the distance moved by the body depends on time.

Answer 1

P=Fv=mav=m(dvdt)



v
⇒Pmdt=vdv

⇒Pm×t=v22⇒v=(2Pm)12(t)12

Now s = ∫vdt=∫(2Pm)12(t)12dt

∴s=(2Pm)12[2t323]⇒s∞(t)32