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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
Define displacement. State its unit.
State how the velocity-time graph can be used to find The distance travelled by the body in a given time
Figure (a) shows the velocity-time graph for the motion of a body. Use it to find the displacement of the body at t = 1 s, 2 s, 3 s and 4 s, then draw on Figure (b), the displacement-time graph for it.
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| (a) | (b) |
A body starts from rest with uniform acceleration 2 m s-2. Find the distance covered by the body in 2 s.
Define Distance.
Can you suggest the kind of motion of a body from the following distance – time graph?
Is distance covered during nth second more than the distance covered in n seconds?
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 |
Which vehicle is moving with a constant acceleration?
Distance travelled by a body in a given time ______.
A body is projected up with an initial velocity of u m/s. It goes up to a height, ‘h’ meters in seconds' time. Then it comes back at the point of projection.
Considering negligible air resistance, which of the following statement is true?
