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प्रश्न
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) |
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उत्तर
We observe from the given displacement time graph above, that the slope is a straight line inclined with time axis, so the body is moving with uniform velocity.
velocity = Slope of straight line
t = 1; velocity = `2/1` = 2 m/s
t = 2; velocity = `4/2` = 2 m/s
t = 3; velocity = `6/3` = 2 m/s
Hence, velocity at t = 1 s, 2 s and 3 s is equal to 2 m s-1
Velocity-time graph for the motion of a body is given below:
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संबंधित प्रश्न
Show the shape of the distance-time graph for the motion in the following case:
A car parked on a side road.
What does the slope of a distance-time graph indicate ?
What conclusion can you draw about the speed of a body from the following distance-time graph ?
Fill in the following blank with suitable word :
The slope of a distance-time graph indicates ………………….. of a moving body.
A body moves along a straight road with a speed of 20 m/s and has a uniform acceleration of 5 m/s2. What will be its speed after 2 s?
What are the uses of the graphical study of motion?
Two students were asked to plot a distance-time graph for the motion described by Table A and Table B.
| Table A |
||||||
| Distance moved (m) | 0 | 10 | 20 | 30 | 40 | 50 |
| Time (minutes) | 0 | 2 | 4 | 6 | 8 | 10 |
| Table B |
||||||
| Distance moved (m) | 0 | 5 | 10 | 15 | 20 | 25 |
| Time (minutes) | 0 | 1 | 2 | 3 | 4 | 5 |
The graph given in figure is true for
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- What does the graph between points B and C indicate about the motion of Boojho?
- Is the motion between 0 to 4 minutes uniform or non-uniform?
- What is his speed between 8 and 12 minutes of his journey?
The slope of the distance-time graph indicates the speed.
