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Grade Upto college levelMechanics

A particle of mass "m" is at x=0 with velocity v=u in the x-direction at t=0.It is subjected to a friction force -bv,where b is a positive constant.The position of the particle at "t" tends to infinity is ? Options are - 1)mu/b 2)u/mb 3)2mu/b 4)mu/2b

Profile image of anurag bhattacharjee
13 Years agoGrade Upto college level
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Profile image of Chetan Mandayam Nayakar
ApprovedApproved Tutor Answer13 Years ago

m*dv/dt=-bv

you can very easily solve the above equation to find v(t)

x(t)=∫v(t) dt