CPM Homework Help : PC3 Problem 10-125

Write a set of parametric equations to model the position of a plane $t$ hours after takeoff if the plane is headed directly northeast at $200$ mph, and a wind is blowing east at $40$ mph.

Hint 1:

Think vectors. What would the components be?

More Help:

Draw and label a diagram.

Possible 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.

Hint for the plane:

$\cos(\theta)=\frac{x}{200}$

Therefore $x = \:?$

Hint 2:

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