Question

though this photograph taken by ansel adams is often appreciated for his dramatic use of black and white photography to capture the spectacular grant teton mountain range, the river is also interesting. looking at the width of the river shown, which number corresponds to the location where the water would most likely be the fastest, given a constant discharge and your understanding of q = wdv? 1 2 3

Explanation:

Step1: Recall the discharge formula

The discharge formula is $Q = wdv$, where $Q$ is discharge, $w$ is width, $d$ is depth and $v$ is velocity. Given $Q$ is constant.

Step2: Analyze the relationship between width and velocity

From $Q = wdv$, we can express $v=\frac{Q}{wd}$. So, when $Q$ is constant, velocity $v$ is inversely - proportional to the product of width $w$ and depth $d$. Assuming depth is relatively consistent in a short - stretch of the river, the narrower the width, the higher the velocity.

Step3: Compare the widths at different locations

Looking at the picture, location 2 has a narrower width compared to locations 1 and 3.

Answer:

2