A particle moves in a straight line in such a way that its velocity V at any position x is given by v2= 212 - 3x) where x is measured from a fixed point
The acceleration of particle is
Uniform
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Answer:
uniform
Explanation:
We know that acceleration is nothing but the time derivative of velocity v so differentiating the expression v
2
=2−3x with respect to t
we get 2v
dt
dv
=0−3
dt
dx
=0−3v=−3v 1
because dx/dt=velocity=v
Solving equation-1 , we get v(
dt
2dv
+3)=0 or
dt
2dv
+3=0 or
dt
2dv
=−3 or
dt
dv
=−3/2 which is a constant so acceleration is constant so uniform acceleration.
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