Fig 8.11 shows the distance time graph

Figure shows the distance-time graphs of three objects A, B and C. Study the graphs and answer the following questions : (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 C travelled when B passes A ? (d) How far has B travelled by the time it passes C ? (a) The slope of distance-time graph of a moving object indicates its speed. Greater the slope, higher is the speed. Now, in the given figure, the slope of distance-time graph of object B is the maximum, so the object B is travelling the fastest. (b) In order to be at the same point on the road, the respective distance and time values for all the three moving objects should be the same. Since the distance-time graph lines of the three objects A, B and C do not cross at a single point, therefore, the three objects are never at the same point on the road. (c) We can see from the given figure that when B passes A at point D, then the C is at point E. If we locate the distance corresponding to point E on the Y-axis, we find that it is 6.5 km. Thus, C has travelled 6.5 km when B passes A. (d) The distance-time graphs of B and C meet at point F. If we locate the distance corresponding to point F on the Y-axis, we will find that it is 5 km. Thus, B has travelled 5 km by the time it passes C.

(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 C travelled when B passes A? (d) How far has B travelled by the time it passes C? Answer (a) Speed = Distance/Time From the graph, we see that A travels from 6 to 12 km in 2 hours B travels from 0 to 12 km in 1.4 hours C travels from 2 to 12 km in 1.6 hours Since B travels the most distance in the smallest time, It is travelling the fastest. (b) All the three objects A,B and C never meet at a single point. Thus, all the three were never at the same point on the road. When B passes A, we have marked it by the blue dot. Making a straight line from that point. Where the straight line intersects line marked by A is the distance travelled. Thus, distance travelled by A is 8 km When B passes C, we have marked it by the blue dot. At that point, Distance travelled by B is around 5 km .

(a) Object B (b) No (c) 5.714 km (d) 5.143 km (a) ∴Speed = slope of the graph Since slope of object B is greater than objects A and C, it is travelling the fastest. (b) All three objects A, B and C never meet at a single point. Thus, they were never at the same point on road. (c) On the distance axis: 7 small boxes = 4 km ∴1 small box Initially, object C is 4 blocks away from the origin. ∴Initial distance of object C from origin= Distance of object C from origin when B passes A = 8 km Distance covered by C Hence, C has travelled a distance of 5.714 km when B passes A. (d) Distance covered by B at the time it passes C = 9 boxes Hence, B has travelled a distance of 5.143 km when B passes A. read less 6 Exam Hall Tips To Follow, For Every Good Student Appearing for exams could be stressful for students. Even though they might have prepared well, they could suffer from anxiety, tension etc. These are not good for their health and mind. However, following a few exam preparation tips can save them from all these and help them to score good marks. Let’s find out all... Read full article > Science, Arts Or Commerce - Which One To Go For? Once over with the tenth board exams, a heavy percentage of students remain confused between the three academic streams they have to choose from - science, arts or commerce. Some are confident enough to take a call on this much in advance. But there is no worry if as a student you take time to make choice between - science,... Read full article > ...

Fig 8.11 shows the distance-time graph of three objects A,B 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 on the road? (c) How far has C travelled when B passes A? (d) How far has B travelled by the time it passes C? • • NCERT: Text Format • • • • • • • • • • • • • Rationalised NCERT • • • • • • • • • • • • • Old NCERT (2015) • • • • • • • • • • • • • Lab Manuals & Kits • • e-Books for UPSC • • Android App • • NCERT Books • • • • • • • • • H. C. Verma • • • Lakhmir Singh • • • • • • • • • R. D. Sharma • • • • • • • • R. S. Aggarwal • • • • • • • All in One • • • • • • • • • Evergreen Science • • • Together with Science • • • Xam Idea 10 th Science • • Classroom Courses • • • • • • • UPSC Exams • • Teaching • • Banking • • • Hair Accessories • Jewellery • Stationery • Lunch Boxes • • Explore Store 53 Fig 8.11 shows the distance-time graph of three objects A,B 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 on the road? (c) How far has C travelled when B passes A? (d) How far has B travelled by the time it passes C? (a) It is clear from graph that B covers more distance in less time. Therefore, B is the fastest. (b) All of them never come at the same point at the same time. (c) According to graph; each small division shows about 0.57 km. A is passing B at point S which is ...