question_answer 41)

                  A body is moving unidirectionally under the influence of a source of constant power supplying energy. Which of the diagrams shown in Fig. correctly shows the displacement-time curve for its motion?                 (a)           (b)                   (c)              (d)                

Answer:

                  (b) \[P=\frac{W}{t}=\frac{Fdx}{t}=\,\frac{ma\,dx}{t}=\,m\left( \frac{{{x}^{2}}}{{{t}^{3}}} \right)\]                 or \[x\propto {{t}^{3/2}}\] as P and m are constant.