the velocity v verse t graph of the body ina straight line is as shows in figure:
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First find the area of the first triangle. Consider the area A1 :-
1/2(base)(height)
⟶ Base is from 0 to 3 that is 3 [3 - 0 = 3] (x axis)
⟶ Height is from 0 to 2 that is 2 [2 - 0 = 2] (y axis)
so, 1/2(3)(2)
= 3
Then find the area of the second triangle. Consider the area A2:-
1/2(base)(height)
⟶ base is from 3 to 4 that is 1 [4 - 3 = 1](x axis)
⟶ height is from 0 to -2 that is [ -2 - 0 = -2] (y axis) but we will not consider minus( - ) here as we are just counting the units that are in between so there is no concept of negative. So here value of height is 2
1/2(1)(2)
=1
⟶ Displacement = 3m - 1m
⟶ Displacement = 2m
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