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.
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