I am stuck on a homework question, I worked it out withmy tutor but now I have g

Question

I am stuck on a homework question, I worked it out withmy tutor but now I have gotten myself confused with the notes Imade. An airplane heads due west at 750km/h. It experiences a 15km/hcross wind flowing in the direction S40ºW. Find the speed anddirection of the plane. (Leave your answers correct to two decimalplaces) Any help would be appreciated!! I am stuck on a homework question, I worked it out withmy tutor but now I have gotten myself confused with the notes Imade. An airplane heads due west at 750km/h. It experiences a 15km/hcross wind flowing in the direction S40ºW. Find the speed anddirection of the plane. (Leave your answers correct to two decimalplaces) Any help would be appreciated!!

Explanation / Answer

assume v1= velocity of airplane, v2 isthe velocity of the wind. new velocity as V because, there are only two forces acting on the system.Therefore, the summation of the two forces is the one you arelooking for. If you conduct them into x, y component, asfollowing -750-15sin40o=Vx and-15cos40o=Vy the new velocity would be:V=Vx+Vy=(-750-15sin40o)2+(-15cos40o)2=759.73km/hr and the direction:=tan-1Vy/Vx = 0.8666osame as 89.13oSW

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