Question

Ratio of distances travelled by the body in the nth second to that travelled during n seconds?

Answer 1

$$\begin{gathered} U\sin gv=u-gt \\ infirstsecondt=1s,u=0, \\ v=-g \\ s=ut-\frac{1}{2}g{t}^2 \\ s=-g/2 \\ in2ndsecondt=1s,u=-g \\ v=-g-g=-2g \\ s=-g-g/2=-3g/2 \\ sim,innthsecond \\ v=-ng \\ s=-(n+1)g/2 \\ Ratio=1:(n+1) \end{gathered}$$