Answer to Question #231747 in Physics for Arisco

Question

A car is driven East for 50km, North for 30km, then 30 degrees East of North for 25km. (a) Sketch the vector diagram, (b) determine the total displacement of the car?

Answer 1

(a) The diagram:

(b) The total displacement:

$$D_x=50+25\cos30°=71.65\text{ km}.\\ D_y=30+25\sin30°=42.5\text{ km}.\\ D=\sqrt{D_x^2+D_y^2}=83.3\text{ km}.\\\space\\ \theta=\arctan\frac{D_x}{D_y}=59°\text{ E of N}.$$