the displacement of a particle is s=(a+bt)ˆ6, where a and b are constants. Find acceleration of the particle as function of time.
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given, displacement = s = (a+bt)^6
we know that, velocity,v = ds/dt
=> ds/dt = 6 (a+bt)^5
Now v= 6(a+bt)^5
we know that, acceleration, a = dv/dt
=> 30(a+bt)^4
we know that, velocity,v = ds/dt
=> ds/dt = 6 (a+bt)^5
Now v= 6(a+bt)^5
we know that, acceleration, a = dv/dt
=> 30(a+bt)^4
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