Question

The graph given below shows the motion of four runners P, Q, R, and S in a 5 km marathon.
a) Who ran fastest? Explain your answer?
b) How can we determine the speed of runner Q from the graph?
c) Calculate average speed of runner R?
d) Plot a distance-time graph for uniform motion?

Answer 1

Good evening ,

Answer (a)
P is the fastest .
Speed of P = D/T = 5/2.5 = 2kmph
Speed of Q = 5/4.5 = 1.10kmph
Speed of R = 5/6 = 0.82 kmph
Speed of S = 5/6.5 = 0.71 kmph
Speed of P is greater than Q,R and S's speed
Hence , P is the fastest

Answer (b)
Speed = Distance/Time
Distance covered by Q = 5km
Time taken = 4.5 hours
So his speed = 5/4.5 = 1.12kmph(approx)

Answer (c)
Average speed = Total Distance/Total time
= 5/6 = 0.82kmph(approx)

Answer (d)
I think the 4th question is not related to this graph
The graph given above is a distance time graph which shows uniform motion.
In this graph , a distance of 5kms is covered in 5 hours 1km in each hour the speed is not changing.
Hence, it shows uniform motion.

Hope this helps :-) ...
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