the displacement of a particle is given by x =(t-2)^2 wher x is in metres and t in seconds .the distance covered by the particle in first 4 seconds is
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X = (t - 2)2 = t2–4t + 4v = 2t - 4Distance covered = integ(|v|dt) = |t2–4t| = 4t - t2 for t = 0 to 2 = t2 - 4t for t = 2 to 4 = 8 units
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Explanation:
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X =(t-2)^2 = t^2–4t + 4
v = 2t - 4
Distance covered = integ(|v|dt)
= |t^2–4t|
= 4t - t^2 for t = 0 to 2
= t^2 - 4t for t = 2 to 4
= 8 units
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