Grade 12Mechanics
1 Answer
Ramesh V
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
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regards
Ramesh
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