Home
Class 9
PHYSICS
Figure shows the distance-time graph of ...

Figure shows the distance-time graph of three object `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` travelld by when `B` passes `A` ?
(d) How far has `B` travelled by the time it passes `C` ?

Text Solution

Verified by Experts

(a) Object B
(b) No
(c ) 5.714 km
(d) 5.143 km
(a) Speed = `("Distance")/("Time")`
Slope of graph = `(y-"axis")/(x-"axis")=("Distance")/("Time")`
Therefore, 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 )
7 square box = 4 km ltBrgt `therefore` 1 square box = 4/7 km
C is 4 blocks away from origin therefore initial distance of C from origin = 16/7 km
Distance of C from origin when B passess A = 8 km
Thus, Distance travelled by C when B passes A = 8- 16/7=(56-16)/7=40/7=5.714 km
(d)
Distance travelled by B by the time it passes C = 9 square boxes 9`xx`4/7 = 36/7 = 5.143 km
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Fig 1.11 show the distance - time graphs of three A,B and C. Study the graph and answer the following question : Which of the three is travelling the fastest ?

Fig 1.11 show the distance - time graphs of three A,B and C. Study the graph and answer the following question : How far has C travelled when B passes A ?

Fig 1.11 show the distance - time graphs of three A,B and C. Study the graph and answer the following question : Are all three ever at the same point on the road ?

Figure 3.64 shows the position-time graphs of three car A, B and C. On the basis of the graphs, answer the following questions : When A passes C, where is B ?

Figure 3.64 shows the position-time graphs of three car A, B and C. On the basis of the graphs, answer the following questions : Are the three cars ever at the same point on the road ?

Figure 3.64 shows the position-time graphs of three car A, B and C. On the basis of the graphs, answer the following questions : Which car has the highest speed and which the lowest ?

Figure shows the position-time graphs of three car A, B and C. On the basis of the graphs, answer the following questions : What is the relative velocity of car B with respect to car C ?

Figure shows the position-time graphs of three car A, B and C. On the basis of the graphs, answer the following questions : What is the relative velocity of car C with respect to car A ?

Figure 3.64 shows the position-time graphs of three car A, B and C. On the basis of the graphs, answer the following questions : How far did car A travel between the time it passed cars B and C ?