Respuesta :
The magnitude and direction of the plane's total displacement will be 7.66 km, 26.20° to the ground.
What is displacement?
It should be noted that displacement is a vector quantity which explains the change in the distance to the overall change in position of the object.
The sine and cosine function can be used to solve for the resultant x and y components.
Resultant x = 2.5 cos 35 + 5.2 cos 22
= 6.87 km
Resultant y = 2.5 sin 35 + 5.2 sin 22
= 3.38 km
The resultant displacement is calculated using hypotenuse equation:
displacement = ✓(6.87² + 3.38²)
displacement = 7.66 km
The resultant angle will be:
θ = tan^-1 (3.38 / 6.87)
θ = 26.20°
Therefore the magnitude and direction will be 7.66 km, 26.20° to the ground.
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