# Flaneur in the rain - ii

Suppose you're sauntering about Saint-Germain, Paris, from one cafe to the next, staying only as long as it takes you to knock down a few Brilliant problems. You're wrapping up at Brasserie Lipp and want to go to Cafè de Flore, which is $$\text{80 m}$$ away.

The only problem is: it's pouring rain!

If you run across between the cafes at speed $$v_0=\text{3 m/s}$$, how much water (in grams) do you absorb?

Assumptions

• Approximate yourself as a shape with a vertical cross section of $$A_\text{head}= \text{0.3 m}^2$$, and horizontal cross section $$A_\text{body} = \text{1 m}^2$$.
• The density of the rain in the air $$\rho_\text{rain} = 0.8\text{ g/m}^3$$
• The rain falls at terminal velocity $$v_\text{rain} = \text{9 m/s}$$
• All the rain that hits your body is absorbed.
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