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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) |
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
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Show the shape of the distance-time graph for the motion in the following case:
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The distance between Bholu’s and Golu’s house is 9 km. Bholu has to attend Golu’s birthday party at 7 o’clock. He started from his home at 6 o’clock on his bicycle and covered a distance of 6 km in 40 minutes. At that point, he met Chintu and spoke to him for 5 minutes and reached Golu’s birthday party at 7 o’clock. With what speed did he cover the second part of the journey? Calculate his average speed for the entire journey.
The slope of the distance-time graph indicates the speed.
Assertion: The position-time graph of a uniform motion in one dimension of a body can have a negative slope
Reason: When the speed of the body decreases with time then, the position-time graph of the moving body has a negative slope.
Assertion: The slope of the distance-time graph of a body moving with high speed is steeper than the slope of the distance-time graph of a body with low velocity.
Reason: Slope of distance-time graph = speed of the body.
