How long will it take sound waves to travel the distance l between the point A and B if the air temperature between them varies linearly from `T_(1) to T_(2)`? The velocity of sound propagation in air is equal to `v asqrtT` where a is a constant.

Explanation

To solve the problem of how long it will take sound waves to travel the distance \( L \) between points A and B, where the air temperature varies linearly from \( T_1 \) to \( T_2 \), we can follow these steps:

### Step 1: Understand the relationship between temperature and distance
The temperature \( T \) varies linearly from \( T_1 \) to \( T_2 \) as we move from point A (at \( x = 0 \)) to point B (at \( x = L \)). We can express this relationship mathematically as:
\[ T(x) = T_1 + \left(\frac{T_2 - T_1}{L}\right)x \]
This equation represents the temperature as a function of the distance \( x \).
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