Advertisements
Advertisements
Question
Figure shows the distance-time graph for the motion of two vehicles A and B. Which one of them is moving faster?
Figure: Distance-time graph for the motion of two cars
Advertisements
Solution
The speed is given by the relation
speed = `" distance travelled" / "time taken"`
This relation shows that the speed of a vehicle is high if it covers the maximum distance in a given time interval. To compare the distance, draw a line perpendicular to the time axis, as shown in the following distance-time graph
The graph clearly shows that for a given time t, vehicle A covers more distance than vehicle B. So, vehicle A is moving faster than vehicle B.
APPEARS IN
RELATED QUESTIONS
Given figure shows the distance-time graph of three objects A, B and C. Study the graph and answer the following questions:
- Which of the three is travelling the fastest?
- Are all three ever at the same point on the road?
- How far has C travelled when B passes A?
- How far has B travelled by the time it passes C?
What does the slope of a distance-time graph indicate ?
What can you say about the motion of a body whose distance-time graph is a straight line parallel to the time axis ?
A student draws a distance-time graph for a moving scooter and finds that a section of the graph is horizontal line parallel to the time axis. Which of the following conclusion is correct about this section of the graph?
Two friends leave Delhi for Chandigarh in their cars. A starts at 5 am and moves with a constant speed of 30 km/h, whereas B starts at 6 am and moves with a constant speed of 40 kmh-1. Plot the distance-time graph for their motion and find at what time the two friends will meet and at what distance from Delhi.
The slope of the distance-time graph at any point gives______.
What are the uses of the graphical study of motion?
If we denote speed by S, distance by D and time by T, the relationship between these quantities is ______.
The area under velocity time graph represents ______.
What do you infer if
- Distance – time graph is a straight line.
- The velocity-time graph is curved.
- Displacement time is zigzag.
