Question

an airplane is heading due north at 800 km h when it encounters a wind from the northeast at 100km h what is the resultant velocity

Answer 1

The resultant is 732.7 km/h on a heading 5.5° west of north.

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Some graphing calculators handle vector addition better than others. For this TI-83/84, it is convenient to define the variable D as π/180, so it converts degrees to radians. The resulting exponential shows the angle in degrees because the calculator is in Degrees mode.

Answer 2

Resultant velocity of the airplane is 873.5 m/s

Explanation:

It is given that,

Velocity of airplane in north, v₁ = 800 km/h

Velocity of wind in northeast, v₂ = 100 km/h

The angle between v₁ and v₂ is 45°. So, their resultant can be given by using vectors as :

`v=√(v_1^2+v_2^2+2v_1v_2cos\ \theta)`

`v=√((800)^2+(100)^2+2* 800* 100* cos(45))`

v = 873.5 m/s

Hence, the resultant velocity of the airplane is 873.5 m/s.