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Velocity of a particle travelling along the x-axis changes with x-coordinate as shown in the graph. The acceleration of the particle when its velocity is 5 m/s is (in m/s²)

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1 m/s²

4 m/s²

1.5 m/s²

2 m/s²

answer is C.

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Detailed Solution

$a = \frac{d v}{d t} \Rightarrow a = v \frac{d v}{d x}$
 a = (velocity) × (slope of v vs x
$a = v \frac{d v}{d x} \Rightarrow 5 (\frac{5 - 2}{10}) (∵ s l o p e = \frac{Δ v}{Δ x} = \frac{5 - 2}{10})$  a = 1.5m/s2

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