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)

Question

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) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

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.

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)

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.

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 $F = - k v$ , where $^{'} k^{'}$ is a constant, on the body ? (Graphs are schematic and not drawn to scale)