The displacement of a particle varies with time (t) as: s = at² – bt³. The acceleration at any given time (t) of the particle will be equal to

        (a)    2880 m

(b)    1440 m

        (c)    400 m

        (d)    20 m

Question

The displacement of a particle varies with time (t) as: s = at 2 &ndash; bt 3 . The acceleration at any given time (t) of the particle will be equal to (a) 2880 m (b) 1440 m (c) 400 m (d) 20 m

Jitender Pal · Answer

(b) s = at2 - bt3 v = ds/dt = 2at - 3bt2 a=dv/dt =2a-6bt 2a- 6bt =0 => t=a/3b

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The displacement of a particle varies with time (t) as: s = at 2 – bt 3 . The acceleration at any given time (t) of the particle will be equal to (a) 2880 m (b) 1440 m (c) 400 m (d) 20 m

The displacement of a particle varies with time (t) as: s = at² – bt³. The acceleration at any given time (t) of the particle will be equal to

        (a)    2880 m

(b)    1440 m

        (c)    400 m

        (d)    20 m

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