A particle moving along X-axis has acceleration f,at time t, given f =

1.	A particle moving along X-axis has acceleration f,at time t, given f =where f, and T arewconstants. The particle at t = 0 has zero velocity.When f = 0, the particle's velocity (Vx) is[AIPMT (Prelims)-2007]
Answer» Instantaneous VELOCITY at the instant when t = 0, a = ao(1 - t/T), When a = 0, t = T, a = ao(1 - t/T), DV/DT = ao(1 - t/T), dv = ao(1 - t/T) dt, INTEGRATE, v = ao(t - t²/(2T)), When t = T (i.e when a = 0), v = ao(T - T²/(2T)), v = ao(T/2). Therefore, velocity at the instant when a = 0 is = ao(T/2)

A particle moving along X-axis has acceleration f,at time t, given f =where f, and T arewconstants. The particle at t = 0 has zero velocity.When f = 0, the particle's velocity (Vx) is[AIPMT (Prelims)-2007]

Answer»

Instantaneous VELOCITY at the instant when t = 0, a = ao(1 - t/T), When a = 0, t = T, a = ao(1 - t/T), DV/DT = ao(1 - t/T), dv = ao(1 - t/T) dt,

INTEGRATE, v = ao(t - t²/(2T)), When t = T (i.e when a = 0), v = ao(T - T²/(2T)), v = ao(T/2). Therefore, velocity at the instant when a = 0 is = ao(T/2)

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A particle moving along X-axis has acceleration f,at time t, given f =where f, and T arewconstants. The particle at t = 0 has zero velocity.When f = 0, the particle's velocity (Vx) is[AIPMT (Prelims)-2007]​

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A particle moving along X-axis has acceleration f,at time t, given f =where f, and T arewconstants. The particle at t = 0 has zero velocity.When f = 0, the particle's velocity (Vx) is[AIPMT (Prelims)-2007]