Grade 12Mechanics
How to perform integration in this case?. please answer urgently..
1 Answer
Vikas TU
Approved Tutor Answer9 Years agoGiven,
dv/dt = -kv^3
we can write it as,
v^-3dv = -kdt
Integerating both the sides we get,
-v^-2/2 = -kt
1/2(v^2 – v0^2) = kt
(v^2 – v0^2) = 1/2kt
v = root(v0^2 + 0.5kt) m/s
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