8(a) A particle moves in a straight line with an acceleration kv. If its initial velocity...

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8(a) A particle moves in a straight line with an acceleration kv. If its initial velocity is u, find the velocity and the time spent when the particle has travelled a distance x. 9 (b) A particle of mass m moves along x-axis under the influences of a conservative field of force having potential V(x). If a particle is located at positions x, and x, at time t, and t, respectively. Prove that if m dx E is the total energy. Then 2-1,=, E-V(x) 8 8(a) A particle moves in a straight line with an acceleration kv. If its initial velocity is u, find the velocity and the time spent when the particle has travelled a distance x. 9 (b) A particle of mass m moves along x-axis under the influences of a conservative field of force having potential V(x). If a particle is located at positions x, and x, at time t, and t, respectively. Prove that if m dx E is the total energy. Then 2-1,=, E-V(x) 8