In a time of 2.82 h, a bird flies a distance of 99.8 km in a direction 42.7 degrees east of north. Take north to be the positive y direction and east to be the positive x direction. Express your answers in km/h.

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What is the x component of the bird’s average velocity

answer : 33.926 km/h

Explanation:

Time = 2.82 h

Distance flown by bird = 99.8 km in a direction ; 42.7 degrees east of North ( N.E )

Taking North to be the positive y direction and East to be the positive  X  direction

Calculating the x component of the birds average velocity

Distance OA = 99.8 km

X component of velocity is expressed as (Vx)= Δx / Δt

looking at triangle ABC ; Δx = (OA) sin∅

Therefore ( Vx ) = [( 99.8 )*sin(42.7°)] / 2.82

                          =  -95.67 / 2.82 ≈ - 33.926 km/h

considering North to be positive y direction and east to be positive X direction. the x component of the velocity will be = 33.926 km/h

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