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2.Motion in Straight Line
medium
Find the acceleration of particle at $x = 5\,m$ with the help of graph. where $v-$ velocity and $x-$ displacement
A$\frac{1}{{\sqrt 3 }}\,m/{s^2}$
B$\frac{1}{{\sqrt 2 }}\,m/{s^2}$
C$\frac{2}{{\sqrt 3 }}\,m/{s^2}$
D$\frac{1}{{2\sqrt 3 }}\,m/{s^2}$
Solution
Slope $=\tan \theta=2 \mathrm{v} \frac{\mathrm{d} \mathrm{v}}{\mathrm{dx}}$
$=2 a=\frac{1}{\sqrt{3}}$
$a=\frac{1}{2 \sqrt{3}} \mathrm{m} / \mathrm{s}^{2}$
$=2 a=\frac{1}{\sqrt{3}}$
$a=\frac{1}{2 \sqrt{3}} \mathrm{m} / \mathrm{s}^{2}$
Standard 11
Physics