A block is placed on a rough horizontal plane


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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

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\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...


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