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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

Grade:10

1 Answers

Jitender Pal
askIITians Faculty 365 Points
8 years ago

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

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