With the usual notations, the following equation ${S_t} = u + \frac{1}{2}a(2t - 1)$ is
With the usual notations, the following equation ${S_t} = u + \frac{1}{2}a(2t - 1)$ is
Only numerically correct
Only dimensionally correct
Both numerically and dimensionally correct
Neither numerically nor dimensionally correct
With the usual notations, the following equation ${S_t} = u + \frac{1}{2}a(2t - 1)$ is
We can derive this equation from equations of motion so it is numerically correct.
${S_t}$= distance travelled in $t^{th}$ second $=\frac{{{\rm{Distance}}}}{{{\rm{time}}}} = [L{T^{ - 1}}]$
$u$ = velocity = $[L{T^{ - 1}}]$ and $\frac{1}{2}a(2t - 1) = [L{T^{ - 1}}]$
As dimensions of each term in the given equation are same, hence equation is dimensionally correct also.
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