The position of an object depends on time according to the relation X = 4 + 2t - (t^2) ,

where t in sec gives X in metres . Find the distance covered by the object from t=0 to t=2.

 

The displacement x(t) = 4 + 2×t - t²

 

Table given below shows the position and displacement fro t=0 to t=2

 

t      x(t)        displacement

                     in 1 s

----------------------------------

0       4             ------

1       5               1

2       4              -1

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distance covered 2 units