a particle moves in a straight line in such a way that ita velocity v at any point is given by v^2=2-3x , where x is measured from a fixed point. The accelaration of particle is ?
1)Uniform
2)zero
3)non-uniform
4)indeterminate
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1
Answer:
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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