AIPMT PRELIMS 2007 Physics Kinematics MCQ Question
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
1/2 f₀T²
f₀T²
1/2 f₀T
f₀T
Correct Answer
Detailed Explanation
Integrating the acceleration function f = f₀ [¹⁻ (t/T)] over time gives the velocity. The integral of f with respect to t from 0 to T is (1/2)f₀T².
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