A particle has speed u at x=0 and speed v at x=L under constant acceleration. Its speed after travelling L/3 is:
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A particle has speed u at x=0 and speed v at x=L under constant acceleration. Its speed after travelling L/3 is:

G1 Physics · Accepted Answer

For constant acceleration, V² = u² + 2ax. At x=L, v² = u² + 2aL. Hence 2aL = v²−u². At x=L/3, V² = u² + (v²−u²)/3 = (2u²+v²)/3. Therefore V = √[(2u²+v²)/3].