Q.

The adjacent figure shows the position graph of one dimensional motion of a particle of mass 4kg. The impulse at t=0 and t=4s is given respectively as:

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a

0,0

b

0,-3 kg ms-1

c

+3 kg ms-1,0

d

+3 kg ms-1,-3 kg·ms-1

answer is D.

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Detailed Solution

t<0,vi=0 and t>0,vf=34 m/s∴ Impulse =m(vf−vi)=4(34−0)=3 kg ms−1 Little before 4 second v=34 m/s, little after 4 second,  velocity becomes zero . Therefore, Impulse =m(vf−vi)=4(0−34)=−3 kg ms−1
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