Two stones are thrown up simultaneously from the edge of a cliff 200 m high with initial speeds of `15 ms^(-1)` and `30 ms^(-1)`. Verify that the graph shown in Fig. correctly represents the time variation of the relative position of the second stone with respect to the first. Neglect air resistance and assume that the stones do not rebound after hitting the ground. Take `g = 10 ms^(-2)`. Give the equations for the linear and curved parts of the plot.

Explanation

`x_(2)-x_(1)=15t` (linear part), `x_(2)-x_(1)=200+30 t-5 t^(2)` (curved part).