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Q. Velocity of a particle changes with position according to following curve. Acceleration of the particle at $S = 1\, m$
image

Motion in a Plane

Solution:

From the graph
$v=\frac{20}{10} s+10$
$\Rightarrow v=2 s+10$
$a=v \cdot \frac{d v}{d s}=2 v=4 s+20$
$\Rightarrow a =24 m / s ^{2}$