The velocity (v) of a particle moving along x-axis varies with its position x as shown in figure. The acceleration (a) of particle varies with position (x) as:-

a) a2= x + 3
b) a=2x2 + 4
c) 2a =3x + 5
d) a=4x - 5

slope of the graph = Vx = 4-00-2 =-2vx = -2v = -2xdvdt = -2dxdta = -2v = 4x+COption (4) is the only answer which resemble the coming equation.Hence option (4) is correct.

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