Velocity and Plane

VECTOR & RELATIVE VELOCITY

Set 1

1. What is the total displacement of a trip in which a person travels 10 km[N] and then 24 km[E]?

2. What is the total displacement of a trip of 50 km[W] followed by a trip of 100 km[N30°E]?

3. What is the total displacement of a trip of 100 km[N30°E] followed by a trip of 50 km[W]? What is significant about the result when compared to the answer for question 2?

4. A small boy goes to a store 2 blocks[N], 3 blocks[E], l block[S], 5 blocks[W], 4 blocks[S] and then 2 blocks[E]. What is the total displacement of his trip?

Set 2

1. A baseball pitcher is warming up as he travels to a game by plane. The plane is flying at 400 km/h[W] relative to the ground. The pitcher throws a ball at 150 km/h relative to the airplane. What is the ball's velocity relative to the ground, if the pitcher throws the ball towards a) The front of the plane? b) The rear of the plane?

2. A jet plane travelling horizontally at 1200 km/h relative to the ground fires a rocket forwards at 1100 km/h relative to itself. What is the velocity of the rocket relative to the ground?

3. A bowler is practising his game on a railway flatcar travelling at 50 km/h[N] relative to the ground. If the ball's velocity relative to the flatcar is 60 km/h[S], what is its velocity relative to the ground?

4. A boat is travelling upstream at 5 km/h[N] relative to the shore. If there is a current of 7 km/h[S], what is the boat's velocity relative to the water?

Set 3

1. A swimmer jumps into a river and swims straight for the other side at 1.5 km/h[N] relative to the water. There is a current in the river of 2.0 km/h[W]. What is the swimmer's velocity relative to the shore?

2. A conductor in a train travelling at 12.0 km/h[N] walks across the aisle at 5.0 km/h[E] relative to the train. What is his velocity relative to the ground?

3. A mouse is crawling inside a cart that is being pushed across the deck of a moving