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Home > PC3 > Chapter 10 > Lesson 10.2.2 > Problem 10-125


Write a set of parametric equations to model the position of a plane hours after takeoff if the plane is headed directly northeast at mph, and a wind is blowing east at mph.  

Think vectors. What would the components be?

Draw and label a diagram.

Right triangle, vertical leg labeled, y, horizontal leg labeled, x, angle opposite vertical leg, labeled theta, hypotenuse is green arrow pointing up & right, labeled, plane = 200 mph, green horizontal ray, from upper right vertex, pointing right, labeled wind = 40 mph.


The vectors in the diagram are velocity vectors.The problem asks for position. How do you calculate position given velocity?