an airplane is headihg due south at a speed of 600 km/h. of a wind beings blowin
ID: 1693452 • Letter: A
Question
an airplane is headihg due south at a speed of 600 km/h. of a wind beings blowing from the sothwest at a speed of 100km/h(average).calculate:the velocity (magnitude and direction)of the plane realative to the ground and how far from its intended position will be after 10min if the pilot takes no corrective action..... i can't draw the graph and dont no the prosses to find out the answer ... an airplane is headihg due south at a speed of 600 km/h. of a wind beings blowing from the sothwest at a speed of 100km/h(average).calculate:the velocity (magnitude and direction)of the plane realative to the ground and how far from its intended position will be after 10min if the pilot takes no corrective action..... i can't draw the graph and dont no the prosses to find out the answer ... i can't draw the graph and dont no the prosses to find out the answer ...Explanation / Answer
The velocity relative to the ground can be seen as the sum-vector of the two other velocities.To add the two velocities you should break the one from the wind into two parts: parallel and perpendicular to the vector of the airplanes velocity.
It goes southwest so it makes an angle of 45 degrees with the airplanes velocity vector. So we calculate its components.
Parallel: cos 45 = parallel/100, so it is 50v2 Perpendicular: sin 45 = perp/100, so it is also 50v2 Therefore the new velocity in the direction of the airplane is 600+50v2 and in the perpendicular direction 50v2 The calculate now the magnitude, use pythagoras.... The direction can be calculated by tan a = 50v2/(600+50v2) where a is the angle. How far he will be from the intended position: you know the extra velocity is is just the winds velocity, so use this to calculate the distance after 10 minutes. You know the velocity is 100km/h, or 16.67km/10min. So this will be 16.67km.
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