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 according to law `F = alpha t,` Where alpha is a positive constant. From figure, which of the following statements are correct ? A. Curve 1 can be the plot of acceleration against timeB. Curve 2 can be the plot of velocity against timeC. Curve 2 can be the plot of velocity against accelerationD. Curve 1 can be the plot of displacement against time

A particle is resting over a smooth horizontal floor. At `t = 0,` a ho

1.	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 according to law `F = alpha t,` Where alpha is a positive constant. From figure, which of the following statements are correct ? A. Curve 1 can be the plot of acceleration against timeB. Curve 2 can be the plot of velocity against timeC. Curve 2 can be the plot of velocity against accelerationD. Curve 1 can be the plot of displacement against time
Answer» Correct Answer - A::B `a=F/m=alpha/mt……(i)` or `apropt` i.e. a-t graph is a straight line passing through origin. If `u=0,` then integration of Eq. (i) gives, `v=(alphat^2)/(2m)` or `vpropt^2` Hence in this situation (when `u=0`) v-t graph is a parabola passing through origin.

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