The velocity of a particle moving in positive x axis is according to relation v =√4x if at t=0 particle is at x=0 then the velocity and acceleration at t=2s are given as
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Explanation:
v=√4x = 2√x
dv/dx = 2 × 1/2 x^1/2-1
= 1/√x
a= v dv/dx =2√x × 1/√x
= 2 m/s^2
Now s = ut +1/2at^2
Given that u=0
s = 1/2 × 2 × 2^2
= 4 m
v^2 - u^2 =2as
v = √2as = √2×2×4 = 4m/s
Hence v=4m/s and a=2m/s^2
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