A particle moves along the x axis with velocity of v(t) m/s. Find the displacement and distance travelled over the given time interval for: a) v(t) = 3t-2 for 0 ≤ t ≤ 2 b) v(t) = |1-2t| for 0 ≤ t ≤ 2

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A particle moves along the x axis with velocity of v(t) m/s. Find the displacement and distance travelled over the given time interval for: a) v(t) = 3t-2 for 0 ≤ t ≤ 2 b) v(t) = |1-2t| for 0 ≤ t ≤ 2

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v(2)-v(0) i believe will give us the displacement of the velocity
int(sqrt{1+v'} dt) should give us the distance
there is a way using integrals displacement=integral{v(t)dt} distance=integral{|v(t)dt|}

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