1.

In the given ` v-t` graph, the distance travelled by the body in `5` second will be .A. B. C. D.

Answer» Correct Answer - C
For the give velociyt-position graph, intercept`= v_0 ` and slope `=- v_0//x-0`
The equation of given line is , ` v=- v_0/x_0 x = v_0`
Differentiatng it w.tr.t. t, we have
` (dv)/(dt)=- v-0/x_0 (dx)/(dt)`
or ` a=- v_0 /x_0 v`
` =- v-0 /x_0 ( - v_0/x_0 x + v_0 ) = v_0^2/x_0^2 x - v_0^@/x_0`
It is an equation of straight line between (a) and (x)
with positive slope ` (=(v_0^2)/x_0^20`
and negative intercept ` ( = - ( v_0^2/x_0)`.


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