A body moves in a straight line along, x -axis. Its distances x (in metre) from the origin is given by x = 8 t − 3 t 2 . The average speed in the interval t = 0 to t = 1 second is -

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The position is x ( t ) = 8 t − 3 t 2 . At t = 0 , x ( 0 ) = 0 . At t = 1 , x ( 1 ) = 8 ( 1 ) − 3 ( 1 ) 2 = 5 m. The distance traveled is ∣ x ( 1 ) − x ( 0 ) ∣ = ∣5 − 0∣ = 5 m. Average speed = T o t a lt im e T o t a l d i s t an ce ​ = 1 s 5 m ​ = 5 m s − 1 .

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