Aerospace Engineering > GATE 2026 > Differential Equations
An object of mass 1 kg is launched with an initial speed of vo into a large tank filled with a viscous liquid. The liquid exerts a resistive force (drag) of the form D = αv on any object that is moving inside it, where v is the instantaneous speed of the object and α = 1 kg/s. If the effect of gravity is ignored, the time taken by the object to slow down to the speed vo/2 is ________ s (rounded off to 2 decimal places).
Assume that the tank is sufficiently large for the above deceleration to happen inside the tank.
Assume that the tank is sufficiently large for the above deceleration to happen inside the tank.
Correct : 0.69
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