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For an object starting from rest and moving with uniform acceleration $a$, the distance covered in time $t$ is:
A$s = at$
B$s = \dfrac{1}{2} a t^2$
C$s = a t^2$
D$s = \dfrac{a}{t}$
Answer & Solution
Correct answer: B. $s = \dfrac{1}{2} a t^2$
Kinematic equation $s = u t + \dfrac{1}{2} a t^2$ with $u = 0$ (rest) reduces to $s = \dfrac{1}{2} a t^2$.
Quick sanity check: the units are [acceleration] $\times$ [time]² = $\dfrac{\text{m}}{\text{s}^2} \cdot \text{s}^2 = \text{m}$ ✓.
A common trap is option A ($s = at$), which has units of velocity, not distance.
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