Answer in Brief

Graph

The graph given alongside shows the positions of a body at different times. Calculate the speed of the body as it moves from :

(1) A to B,

(2) B to C, and

(3) C to D.

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#### Solution

(i) The distance covered from A to B,

= 3 – 0

= 3 cm

Time taken to cover the distance from A to B

= 5 – 2

= 3 s

Hence speed,

= `"Distance"/"Time"`

= `3/3` cm/s

= 1 cm/s

(ii) The speed of the body as it moves from B to C is zero because the distance travelled is zero.

(iii) The distance covered from C to D,

= 7 – 3

= 4 cm

Time taken to cover the distance from C to D,

= 9 – 7

= 2 s

Hence speed,

= `"Distance"/"Time"`

= `4/2` cm/s

= 2 cm/s

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