the displacement of a particle is given by y=a+bt+ct2-dt4.the initial velocity and acceleration is
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This is testing the concept of differentiation.
Since we are given displacement, we get velocity by differentiating the displacement function.
To get acceleration we differentiate the velocity function.
Velocity :
dy/dt = V
V = b + 2ct - 4dt³
dv/dt = a
a = 2c - 12dt²
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