An airplane is traveling 25° west of north at 300 m/s when a wind with velocity 100 m/s directed 35° east of north begins to blow. using graphical methods, determine the magnitude and direction of the resultant velocity.
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Ответ:
The resultant velocity is 360.5 m/s and direction 79° north of east.
Explanation:
Given that,
Velocity of airplane = 300 m/s
Velocity of wind = 100 m/s
Angle θ₁ = 25°
Angle θ₂ =35°
The horizontal velocity component
Using formula of velocity
Put the value into the formula
The vertical velocity component
Using formula of velocity
Put the value into the formula
We need to calculate the resultant velocity
Using formula of resultant velocity
Put the value into the formula
We need to calculate the direction of the resultant velocity
Using formula of direction
Put the value into the formula
Hence, The resultant velocity is 360.5 m/s and direction 79° north of east.
Ответ:
the answer is 3.0m