The potential energy of a particle of mass 5 kg moving in the x - y plane is given by U = (-7x + 24y) J, x and y being in meter. If the particle starts from rest from origin, then what is the speed (in m s -1 ) of particle at t = 2 s?
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(10)

along positive x -axis

= 4.8ms -2 along negative y-axis
v x = a x t = 1.4 x 2
= 2.8ms -2
and v y = 4.8 x 2 = 9.6 ms -1

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