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(Solved): A particle moves in a straight line so that, t seconds after leaving a fixed point O, its displaceme ...



A particle moves in a straight line so that,

t

seconds after leaving a fixed point

O

, its displacement,

s

metres from a fixed point

O

, is given by

s=9t^(2)+6t^(3)-2t^(4)

. Find (a) the displacement after 2 seconds, (b) the distance travelled in the third second, (c) the distance travelled in the first 4 seconds, (d) the distance from

O

when

t=5

, (e) the total distance travelled during the interval

0<=t<=

5 .



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