A particle moves in a rectilinear motion. The acceleration-position $(a - x)$ curve shown in figure. Initial velocity of particle is $10 m / s$ . Velocity of particle after it has travelled 30 m is $10 K$ . Find value of $K$ .

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a = dx vdv ​ ⇒ ∫ vdv = ∫ adx ​ 2 v 2 − u 2 ​ = 2 1 ​ × 10 × 10 + 20 × 10 ​ v 2 − u 2 = 500 ⇒ v = 600 ​ = 10 6 ​ m / s ​

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JEE Main (2026)