Question

An airplane is heading due north at a constant height with an airspeed of 950 km/h, but there is a constant wind blowing from the northeast at 100 km/h. We will use two-dimensional vectors to work out how far off course the plane is blown, and what its ground speed is. (a) Write down a vector, p, that represents the intended flight path of the plane in one hour. (b) Write down a vector, w, that represents the movement of a particle caught in the wind for an hour. Hint: Draw the vector, then use right-angled triangle met hods to find its horizontal and vertical components. (c)Find the actual path of the plane, that is, p+w. Draw a diagram to represent the situation (d) Using vector methods, find how far off course the plane has flown by finding the angle between p and P+ w (e)Find how far the plane is from its starting point after an hour by finding the magnitude of p+ w. What is the plane's speed relative to the ground?

Answer 1

i've attached the solution above. I hope you'll find it useful.

[45 -100O7 2 2- pllptw 4.59 t ww

Thank you!