Question
A particle moves according to the equation dvdt = α - β v , where α and β are constants. Find the velocity as a funtion of time. Assume body starts from rest.
Answer: Option C
:
C
Take the relation given for acceleration and integrate with the given limits to obtain the desired function for velocity.
dvdt = α -β v ⇒v∫1 dvα−βv =t∫0 dt
v = (αβ) (1 - e−βt)
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:
C
Take the relation given for acceleration and integrate with the given limits to obtain the desired function for velocity.
dvdt = α -β v ⇒v∫1 dvα−βv =t∫0 dt
v = (αβ) (1 - e−βt)
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