A particle is resting over a smooth horizontal floor AT t = 0, a horizontal force starts acting on it. Magnitude of the force increases with time F = kt, where k is a constant. The two curves are drawn for this particle as shown

Options

A. Curve-1 shows acceleration versus time
B. Curve-2 shows velocity versus time
C. Curve-2 shows velocity versus acceleration
D. Curve-1 shows velocity versus acceleration

Answer

A, B, C

Explanation

`F = kt implies a=(kt)/(m), " "v = (kt^(2))/(2m)=(k)/(2m)((ma)/(k))^(2)=(ma^(2))/(2k)`