A particle moving along x-axis has acceleration f, at time t, given by f = f₀(1 − t/T), where f₀ and T are constants. The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0, the particle's velocity (vx) is

Question

Dr. Abubacker · Accepted Answer

[Solution from source] f = 0 at t = T. v = ∫₀ᵀ f₀(1 − t/T) dt = f₀T − f₀T/2 = ½f₀T. f₀T would be the velocity if the acceleration stayed at f₀ throughout. Answer (3).

Q. A particle moving along x-axis has acceleration f, at time t, given by f = f₀(1 − t/T), where f₀ and T are constants. The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0, the particle's velocity (vx) is

Explanation

Reviewed by Dr. Abubacker

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