Type 1: Adding two vectors in the same direction

Easy: If a car travels 50 km north and then 30 km north, what is the total displacement of the car?

Medium: A person walks 5 meters north and then 12 meters south. What is the net displacement of the person?

Hard: A boat travels 20 km upstream and then 30 km downstream. If the speed of the boat in still water is 10 km/h and the speed of the current is 5 km/h, what is the total displacement of the boat?

Type 2: Adding two vectors at right angles

Easy: A person walks 10 meters east and then 10 meters north. What is the net displacement of the person?

Medium: A plane flies 100 km east and then 100 km north. What is the total displacement of the plane?

Hard: A car travels 50 km east and then 30 km north. What is the shortest distance the car can travel to reach its final destination?

Type 3: Adding two vectors at an angle

Easy: A person walks 10 meters east and then 5 meters south. What is the net displacement of the person?

Medium: A plane flies 100 km at an angle of 30 degrees east of north and then 100 km at an angle of 60 degrees east of north. What is the total displacement of the plane?

Hard: A boat travels 20 km at an angle of 30 degrees upstream and then 30 km at an angle of 60 degrees downstream. If the speed of the boat in still water is 10 km/h and the speed of the current is 5 km/h, what is the total displacement of the boat?