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Motion in One Dimension — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsMotion in One Dimension1 Mark
MCQ
An electron starting from rest has a velocity that increases linearly with the time that is $v=k t$, where $k=2 m / sec ^2$. The distance travelled in the first 3 seconds will be
  • ✓
    $9 m$
  • B
    $16 m$
  • C
    $27 m$
  • D
    $36 m$
✓

Answer

Correct option: A.
$9 m$
(a) $S=\int_0^3 v d t=\int_0^3 k t d t=\left[\frac{1}{2} k t^2\right]_0^3=\frac{1}{2} \times 2 \times 9=9 m$

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