The position of a particle moving along x axis is given by x=t^2-5t+6 find distance travelled between t=3 to t=5
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Putting values of time respectively and subtracting them. Answer is 6.
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x = t²-5t+6.
differentiating the above equation with respect to t.
dx/dt = 2t-5.
at t=3,
dx/dt = 1. (i)
at t=5,
dx/dt = 5. (ii)
(ii) - (i)
4
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