Figure shows the graph of velocity versus time for a particle going along x axis. Initially at t = 0, particle is at x = 3m. Find position of particle at t = 2s. (in m)

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Ans. 9
Sol. v = t + 2
v 2 = 4 m/s, at t 2 = s.
x 2 – x 0 =
× (2 + 4) × 2
= 6m
x 2 = 9m
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