Question

6. Fig 8.11 shows the distance-time graph of three objects A.13
and C. Study the graph and answer the following questions:
(a) which of the three is travelling the fastest ?
(b) are all three ever at the same point of the road ?
(c) how far has C travelled when B passes A ?
(d) how far has B travelled by the time it passes C ?​

Answer 1

Answer:

(a) The slope of distance-time graph gives the speed of the objects.

As the slope of object (B) is the greatest among all, thus B has the largest speed and hence it is the fastest among all the objects.

(b) : As the curve of the objects do not intersect with each other even once, hence they cannot be at the same point on the road at the same time.

(c) : On the y axis (i.e distance line), 7 small represents 4 km

∴ 1 small line =

7

4

=0.57 km

Position of C at the instant B passes A is 8 km

(d) ; Position of B at the instant it passes C is 2nd small line above 4 km i.e 4+2×0.57=5.14 km

∴ Distance traveled by B =5.14−0=5.14 km