The equation which is dimensionally correct among the following is:

V = u + {a t}^{2}

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S = u t + {a t}^{3}

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S = u t + {a t}^{2}

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t = S + a v

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Solution

The correct option is C $S = u t + {a t}^{2}$
$\frac{v}{(L T^{- 1})} = \frac{u}{(L T^{- 1})} + \frac{a t^{2}}{(L)} \to$ not correct

$\frac{s}{(L)} = \frac{u t}{(L)} + \frac{a t^{3}}{(L T)}$ $\to$ not correct
$\frac{s}{L} = \frac{u t}{L} + \frac{a t^{2}}{L}$ $\to$ correct
$\frac{t}{T} = \frac{s}{L} + \frac{a v}{L^{2} T^{- 1}}$ $\to$ not correct

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Similar questions

S = u t + 1 / 2 {a t}^{2}, S

s = u t + \frac{a t^{2}}{2}

The correct equation of motion is :

(a) v=u+aS (b) v=ut+a

u t + a t^{2}

S = u t + \frac{1}{2} {a t}^{2}

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