A particle A of mass `10//7kg` is moving in the positive direction of `x-axis`. At initial position `x=0`, its velocity is `1ms^-1`, then its velocity at `x=10m` is (use the graph given)

Answer

4

Explanation

Area under P - x graph `= int Pdx = int (m (dv)/(dt))v dx = int_(1) mv^2 dv = [(mv^3)/3]_(1)^(v) = 10/(7 xx 3) (v^3 -1)`
For graph, `" Area" = 1/2 (2 + 4) xx 10 = 30 " " :. (10)/(7 xx 3) (v^3 - 1) = 30 " " :.v = 4 m//s`.