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Question
How can you find the following?
Velocity from a displacement – time graph.
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Solution
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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Fill in the boxes.
| S.No | First Move | Seconde Move | Distance (m) | Displacement |
| 1. | Move 4 metres east | Move 2 metres west | 6 | 2 m east |
| 2. | Move 4 metres north | Move 2 metres south | ||
| 3. | Move 2 metres east | Move 4 metres west | ||
| 4. | Move 5 metres east | Move 5 metres west | ||
| 5. | Move 5 metres south | Move 2 metres north | ||
| 6. | Move 10 metres west | Move 3 metres east |
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