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jauneet singh Grade: 12
        the velocity of certain particle moving along x axis is proportional to x at time t=o particle is at x=2 and t=10 particle is at x=4 find positon at x=5s
8 years ago

Answers : (1)

Ramesh V
70 Points
										

given v proportional to x


so, v=kx  where v=dx/dt


dx/dt = kx


on integrating both sides ,we have


ln x = kt + c


here k,c are unknowns


at t=0 , x=2


    t=10 , x=4


    t=5 , x = ??


from above


ln 2 = c          .......(1)


ln 4 = 10k + c .....(2)


ln x = 5k + c ....(3)


on solving gives , x=81/2


--


regards


Ramesh





8 years ago
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