The potential energy of a particle of mass $5 kg$ moving in the $x - y$ plane is given by, $U = (- 7 x + 24 y) J$
where $x$ and $y$ being in metre. If the particle starts from rest from the origin, then the speed of the particle at $t = 2 s$ is :

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∵ F → = - Δ U Δ x i ^ + Δ U Δ y j ^ = - - 7 i ^ + 24 j ^ ∴ F = 7 2 + 2 4 2 = 25 N ⇒ a = F / m = 25 / 5 = 5 m s - 2 ∵ v = u + a t = 0 + 5 × 2 = 10 m s - 1

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