An airplane is headed south at speed 400 km/h. The airplane encounters a wind fr

Question

An airplane is headed south at speed 400 km/h. The airplane encounters a wind from the east blowing at 100 km/h
a. How far will the airplane travel in 3h?
b. What is the direction of the airplane?

Explanation / Answer

it travels: south 400km/h east 100km.h draw an arrow pointing down and another line from the end of the down arrow pointing right | | | -------> get the resultant vector that you have to draw from the top of the first arrow to the right most of the second arrow in concluston you have 400^2 + 100^2 = c^2 c = 412.31 km/h to the south east it travels for 3 hours. so just multiply 3 * 412.31 = 1237 km south east if you need to find the angle it traveled in do tan^-1(100/400)

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