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  4. Which of the following option correctly describes the variation of the speed v and acceleration 'a' of a point mass falling vertically in a viscous medium that applies a force F =-kv, where ' k ' is a constant, on the body ? (Graphs are schematic and not drawn to scale)

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Q. Which of the following option correctly describes the variation of the speed $v$ and acceleration $'a'$ of a point mass falling vertically in a viscous medium that applies a force $F =-kv$, where $' k '$ is a constant, on the body ? (Graphs are schematic and not drawn to scale)

JEE MainJEE Main 2016Mechanical Properties of Fluids

Solution:

When the point mass will start falling its initial velocity will be zero and it will have maximum acceleration. After the mass will attain a steady state velocity, its acceleration will become zero due to the influence of viscous force acting on it.