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Q.

The velocity of a particle is v :  v0 + gt + ft2 .If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is:

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a

vo+g2+f

b

v0+2g+3f

c

vo+g2+f3

d

V0+g+f

answer is C.

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Detailed Solution

∵v=dxdt    ∴∫dx=∫v dt⇒Δx=∫01vo+gt+ft2dt=vot+gt22+ft3301=vo+g2+f3
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