5 A sphere of mass 200 grams is released from rest and allowed to fall vertically.
- A student states that the acceleration of the sphere is \(9.8 \mathrm {~ms} ^ { - 2 }\) while it is falling. What modelling assumption is this student making?
- The student conducts an experiment and finds that the acceleration of the ball is in fact \(8 \mathrm {~m} \mathrm {~s} ^ { - 2 }\). He formulates a model for the motion that assumes a constant resistance force acts on the ball as it is falling.
- Calculate the magnitude of this resistance force based on this assumption.
- Describe how the resistance force would vary in reality.
- In a revised model the resistance force is assumed to be proportional to the speed of the sphere.
- State the initial acceleration of the sphere.
- State what would happen to the acceleration of the sphere if it were able to fall for a long period of time.