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The velocity of a particle is v = vo + gt + ft2. If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is

a
v0−g/2+f
b
v0+g/2+3f
c
v0+g/2+f/3
d
v0+g+f

detailed solution

Correct option is C

Given, velocity v=v0+gt+ft2As v=dxdtSo, ∫0x dx=∫0t vdt=∫0t v0+gt+ft2dtor vx=v0t+gt22+ft33When t =1, then x =v0+g2+f3

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