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प्रश्न
How can you find the following?
Velocity from a displacement – time graph.
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उत्तर
Velocity from a displacement – time graph: Displacement time graph for uniform motion in a straight line (OP) inclined to the time axis. Take any two points A and B on this graph OP. From A and B, draw perpendiculars on the time axis as well as the displacement axis.
So, by knowing the slope of displacement – time graph. We can find the velocity of the body.
Such that,
OA1 = t1, OB1 = t2, OA2 = x1 and OB2 = x2
Slope of displacement – time graph = `"BC"/"AC"`
= `("x"_2-"x"_1)/("t"_2-"t"_1)=(Δ"x")/(Δ"t")` = Velocity of the body
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संबंधित प्रश्न
If the displacement of an object is proportional to the square of time, then the object is moving with :
Figure shows the displacement-time graph of two vehicles A and B moving along a straight road. Which vehicle is moving faster? Give reason.
From the displacement-time graph of a cyclist given below in the Figure, find The displacement from the initial position at the end of 10 s,
Figure ahead represents the displacement - time sketch of motion of two cars A and B . Find :
(i) the distance by which the car B was initially ahead of car A.
(ii) the velocities of car A and car B.
(iii) the time in which car A catches car B.
(iv) the distance from start when the car A will catch the car B.
Write the SI units for measurement of distance and displacement.
Calculate the distance and displacement in the following case:
The table below shows the distance travelled by two vehicles A and B during each second:
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Distance travelled by A (m) | 0 | 20 | 80 | 180 | 240 | 300 | 360 | 420 |
| Distance travelled by B (m) | 0 | 10 | 40 | 90 | 160 | 250 | 360 | 490 |
At what time do A and B meet?Which vehicle is moving with a constant acceleration?
Which of the following figures represent uniform motion of a moving object correctly?
Four cars A, B, C, and D are moving on a levelled road. Their distance versus time graphs are shown in Fig. 8.2. Choose the correct statement.
Distance travelled by a freely falling body is proportional to ______.
