A particle located at x = 0 at time t ⁡ = 0 starts moving along the positive x- direction with the velocity v that varies as ν = α x . The displacement of the particle varies with time as

Question

A particle located at x = 0 at time t ⁡ = 0 starts moving along the positive x- direction with the velocity v that varies as ν = α x . The displacement of the particle varies with time as, t ⁡ 3, t, t ⁡ 1 / 2, t ⁡ 2

MARKS App · Accepted Answer

ν = α x d ⁡ x dt = α x d ⁡ x x α dt ∫ d ⁡ x x = α ∫ dt 2 x 1 / 2 = α t x = ( α 2 ) 2 t ⁡ 2

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