FYKOS Year 34 Series 1 Problem 3 — cycling anemometer · FYKOS 34 #34.1.3

Physics · mechanics

Problem

Vašek rides his bicycle in windy weather. When he rides straight with the velocity

v = 10\,\mathrm{km\cdot h^{-1}}

, he measures that the wind blows at an angle

25^\circ

from the direction of Vašek's direction of travel. When he accelerates to

v' = 20\,\mathrm{km\cdot h^{-1}}

, the angle is only

15^\circ

. Find the velocity and direction of the wind with respect to stationary observer.