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Explanation:
We Have :-
Time t
Initial Velocity v
Rate of Change of Velocity = -Kv²
To Find :-
Velocity after Time t
Formula Used :-
v = u + a t ( First equation of motion )
Solution :-
Rate of Change of Velocity has units m/s²
So we can say Rate of Change of Velocity is Acceleration
Negative sign shows its Retardation
So we have now
Time t
Initial Velocity v
Acceleration -Kv²
Final velocity ?
v = u + at
v' = v - Kv²t
Velocity after Time t is v - Kv²t m/s
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