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Question
How can you find the following?
Acceleration from velocity – time graph.
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Solution
Acceleration from velocity – time graph: Velocity – 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. From A and B draw perpendicular on the time axis as well as velocity axis in such a way that
OA1 = t1, OB1 = t2, OA2 = v1 and OB2 = v2
Slope of v – t graph = `"BC"/"AC"`
= `("v"_2-"v"_1)/("t"_2-"t"_1)=(Δ"v")/(Δ"t")` = Acceleration of the body
So, by knowing the slope of velocity – time graph for uniform motion, we can find the acceleration of the body.
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