With the usual notations,the following equati | vedclass

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(C) The equation $S_t = u + \frac{1}{2}a(2t - 1)$ represents the distance traveled by an object in the $t^{th}$ second.$1$. Numerically: This equation

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Both numerically and dimensionally correct

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(C) The equation $S_t = u + \frac{1}{2}a(2t - 1)$ represents the distance traveled by an object in the $t^{th}$ second.$1$. Numerically: This equation is a standard kinematic formula derived from the equations of motion $(S_t = S_t - S_{t-1})$,where $S_t = ut + \frac{1}{2}at^2$. Thus,it is numerically correct.$2$. Dimensionally: - The dimension of $S_t$ (distance in $t^{th}$ second) is $[L T^{-1}]$.- The dimension of $u$ (initial velocity) is $[L T^{-1}]$.- The dimension of $\frac{1}{2}a(2t - 1)$ is $[L T^{-2}] 	imes [T] = [L T^{-1}]$.Since the dimensions of all terms are identical $([L T^{-1}])$,the equation is dimensionally correct.Therefore,the equation is both numerically and dimensionally correct.

With the usual notations,the following equation $S_t = u + \frac{1}{2}a(2t - 1)$ is

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