1.

The distance-time graph of three objects A, B and C is shown below. Study the graph and answer the following questions : : Distance-time graph) (a) Which of the three is travelling the fastest? (b) Are all three ever at the same point on the road ? (c) How far has travelled when B passes A? (d) How far has B travelled by the time it passes C?

Answer»

Solution :(a) speed = slope of distance-time GRAPH `= tan theta`
Here, from graph `theta _(1) gt theta_(2) gt theta _(3),i.e.,` speed of `B gt` speed of `C gt ` speed of A. `THEREFORE B` is travelling the fastest.
(b) No, the three lines do not meet at the same point.
(c ) When B passes A,C is at a distance of 8 KM (approx.) from the origin.
(d) By the time B passes C, B has travelled `5.7 km `(approx).


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