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2. motion in straight line — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics2. motion in straight line1 Mark
MCQ
A body travels $102.5 \mathrm{~m}$ in $\mathrm{n}^{\text {th }}$ second and $115.0 \mathrm{~m}$ in $(n+2)^{\text {th }}$ second. The acceleration is :
  • A
     $9 \mathrm{~m} / \mathrm{s}^2$
  • ✓
    $6.25 \mathrm{~m} / \mathrm{s}^2$
  • C
    $12.5 \mathrm{~m} / \mathrm{s}^2$
  • D
    $5 \mathrm{~m} / \mathrm{s}^2$
✓

Answer

Correct option: B.
$6.25 \mathrm{~m} / \mathrm{s}^2$
b
Given, $102.5=\mathrm{u}+\frac{\mathrm{a}}{2}(2 \mathrm{n}-1) \&$

$115=\mathrm{u}+\frac{\mathrm{a}}{2}(2 \mathrm{n}+3)$

$\Rightarrow 102.5=\mathrm{u}+\mathrm{an}-\frac{\mathrm{a}}{2} \&$

$115=\mathrm{u}+\mathrm{an}+\frac{3 \mathrm{a}}{2}$

$12.5=2 \mathrm{a} \Rightarrow \mathrm{a}=6.25 \mathrm{~m} / \mathrm{s}^2$

Hence option $(2)$

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