The power required for a particular bird to fly at a speed is proportional to Find to minimize the power.

Question

The power required for a particular bird to fly at a speed  is proportional to  Find  to minimize the power.

Quizplus · Accepted Answer

We have to minimize the power which is proportional to velocity and force. Therefore, we have to minimize the product of velocity and force. 
Let the force be F and velocity be V. 
Power ∝ FV
F ∝ V^2
F = kV^2 where k is a constant of proportionality. 
Therefore, Power ∝ V^3
We have to minimize Power, so we have to minimize V^3. 
Thus, the minimum value of V will minimize the power.
Therefore, we have to find the value of V for which F is minimum. 
F = kV^2
From the given information, we know that k is a constant. Therefore, we have to minimize V^2. 
V is a speed which is always positive, so we have to minimize V^2. 
Hence, the minimum value of V^2 is 0. So, the minimum value of V is also 0. 
Therefore, the best choice is C) 11eaa88b_9240_eb59_a696_bb27024e626f_TB5869_11.

The Power Required for a Particular Bird to Fly at a Speed