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Please provide proper solution to the question..image of the question is attached

Please provide proper solution to the question..image of the question is attached

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Grade:12th pass

1 Answers

Arun
25750 Points
4 years ago
Acc of the body =4-3v
Thus 
dv/dt=4-3v
dv/(4-3v)=dt
Now integrating bothe sides by using substitution rule
ln(4-3v)/-3=t
ln(4-3v)=-3t
Now taking antilog on both sides
4-3v=e^(-3t)
Or 3v=4 - e^(-3t)
Now terminal velocity v=[4 - e^(-3t)]/3
 
hence terminal velocity = 4/3

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