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STD 11 - 2. motion in straight line — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 11 - 2. motion in straight line4 Marks
MCQ
A body initially at rest is moving with uniform acceleration $a$ . Its velocity after $n$ seconds is $v$ . The displacement of the body in last $2\,s$ is
  • ✓
    $\frac{{2v(n - 1)}}{n}$
  • B
    $\frac{{v(n - 1)}}{n}$
  • C
    $\frac{{v(n + 1)}}{n}$
  • D
    $\frac{{2v(n + 1)}}{n}$
✓

Answer

Correct option: A.
$\frac{{2v(n - 1)}}{n}$
a
Here, $a=\frac{v-u}{t}=\frac{v-0}{n}=\frac{v}{n}$

Displacement in last $2\, s$

$\mathrm{S}_{\mathrm{n}}-\mathrm{S}_{\mathrm{n}-2}=\frac{1}{2} \mathrm{an}^{2}-\frac{1}{2} \mathrm{a}(\mathrm{n}-2)^{2}$

${=2 \mathrm{a}(\mathrm{n}-1)=2 \frac{\mathrm{v}}{\mathrm{n}}(\mathrm{n}-1)}$

${=\frac{2 \mathrm{v}(\mathrm{n}-1)}{\mathrm{n}}}$

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