A particle is moving vertically in a resistive medium under the influence of gravity - HSC - SSCE Mathematics Extension 2 - Question 10 - 2022 - Paper 1
Question 10
A particle is moving vertically in a resistive medium under the influence of gravity. The resistive force is proportional to the velocity of the particle.
The initi... show full transcript
Worked Solution & Example Answer:A particle is moving vertically in a resistive medium under the influence of gravity - HSC - SSCE Mathematics Extension 2 - Question 10 - 2022 - Paper 1
Step 1
If the particle is initially moving downwards, then its speed will increase.
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Answer
This statement is false. When a particle is moving downwards, it experiences gravitational force acting downwards and a resistive force acting upwards. Thus, the net force will reduce its speed, causing it to decrease.
Step 2
If the particle is initially moving downwards, then its speed will decrease.
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Answer
This statement is true due to the resistive force opposing the motion, causing a decrease in speed.
Step 3
If the particle is initially moving upwards, then its speed will eventually approach a terminal speed.
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Answer
This statement is true. As the particle moves upwards, gravity and resistive forces will eventually balance out, and the particle will reach a terminal speed.
Step 4
If the particle is initially moving upwards, then its speed will not eventually approach a terminal speed.
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Answer
This statement is false. The particle moving upwards will indeed approach a terminal speed as the forces balance.
