speed of a particle moving on a circular path of radius 2m varying with time as v=2t^2 m/s net acceleration of the particle at t=2 s is
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Explanation:
The velocity is given by the expression
Acceleration is defined as the time derivative of velocity
a = dv/dt
here, v = 2t^2 m/s
therefore a =
= 2*2*t (using the derivative rule of dx^n/dx = nx^(n-1)
= 4*t
given t = 2s,
acceleration after 2 seconds = 4*2 = 8m/s^2
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