Which of the following represents uniformly a | vedclass

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(C) For uniformly accelerated motion,the position $x$ must be a quadratic function of time $t$,i.e.,$x = x_0 + u t + \frac{1}{2} a t^2$.Given option $

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$t = \sqrt{\frac{x+a}{b}}$

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(C) For uniformly accelerated motion,the position $x$ must be a quadratic function of time $t$,i.e.,$x = x_0 + u t + \frac{1}{2} a t^2$.Given option $(C)$: $t = \sqrt{\frac{x+a}{b}}$Squaring both sides:$t^2 = \frac{x+a}{b}$$b t^2 = x + a$$x = b t^2 - a$Comparing this with the standard kinematic equation $x = x_0 + u t + \frac{1}{2} a t^2$,we see that the acceleration is constant $(a_{accel} = 2b)$ and initial velocity is zero. Thus,this represents uniformly accelerated motion.

Which of the following represents uniformly accelerated motion?

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