The displacement – time graph of a body of mass 2kg is shown. Find the impulse acting on the body in the time interval t=2sec to t=6sec
A
2√3kgm/s
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B
(√3+1)kgm/s
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C
(√3−1)kgm/s
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D
2(√3−1)kgm/s
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Solution
The correct option is D2(√3−1)kgm/s Mass of the body = 2kg We know that the slope of x−t graph gives velocity. At t=2sec Velocity = u=22=1m/s At t=6sec Velocity, v=tan60∘=√3m/s Impulse = change in momentum = (mv−mu)=2(√3−1)kgm/s