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प्रश्न
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
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उत्तर
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.
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संबंधित प्रश्न
What can you say about the motion of an object if its speed-time graph is a straight line parallel to the time axis?
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?
Show the shape of the distance-time graph for the motion in the following case:
A car moving with a constant speed.
Show the shape of the distance-time graph for the motion in the following case:
A car parked on a side road.
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?
Figure (a) shows the displacement-time graph for the motion of a body. Use it to calculate the velocity of the body at t = 1 s, 2 s and 3 s, and then draw the velocity-time graph in Figure (b) for it.
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| (a) | (b) |
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.
Write down the type of motion of a body in each of the following distance time-graph.
What do you infer if
- Distance – time graph is a straight line.
- The velocity-time graph is curved.
- Displacement time is zigzag.
