Question

A block is placed on a rough horizontal surface. A time dependent force F = Kt2 is applied horizontally on the block. Here K is a positive constant. Then acceleration time graph of block is best represented by

Answer 1

$\underline{ \boxed{ \bold{ \rm{ \purple{ \huge{Answer}}}}}} \\ \\ \star \: \underline{ \boxed{ \rm{\red{F = k {t}^{2} }}}}\\ \\ \implies \rm \: we \: know \: that \: \blue{F = ma} \\ \\ \therefore \rm \: ma = k {t}^{2} \\ \\ \therefore \rm \: a = \frac{k}{m} {t}^{2} \\ \\ \therefore \: \underline{ \boxed{ \bold{ \orange{a \propto {t}^{2} }}}} \\ \\ \implies \rm \: please \: see \: the \: attached \: graph...$