Question

. A cyclist traveling southeast along a road at 15 km/h feels a wind blowing from the southwest at 25 km/h. To a stationary observer, what are the speed and direction of the wind

Answer 1

The speed and direction of the wind with respect to the observer is 10 km/h southwest.

Relative velocity of the wind

The velocity of the wind appears to be greater for the cyclist than a stationary observer with zero velocity.

$V_o + V_c = V_w$

where;

• Vo is the velocity of the wind with respect to a stationary observer
• Vc is the velocity of the cyclist with respect to the observer
• Vw is velocity of the wind

Vo = 25 - 15

Vo = 10 km/h southwest

Thus, the speed and direction of the wind with respect to the observer is 10 km/h southwest.

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