A particle initially at rest on a smooth horizontal floor is acted on from t=0 by a horizontal force F=kt. Two curves are shown. Which statements are correct?

Question

G1 Physics · Accepted Answer

F=kt ⇒ a=kt/m, so acceleration rises linearly with t, matching curve 1 (A). Integrating, v=kt²/(2m), a parabola versus time, matching curve 2 (B). Eliminating t gives v=(m/2k)a², so curve 2 can also represent v versus a (C). Hence A,B,C.