2. a pleasure boat heads out from the marina and travels 2.7 km [s] to a small island. it then
travels 3.4 km [s260

e] to another island. what is the boats displacement for the entire
journey? solve using a scale diagram and then solve again using the sine and cosine law.
3. a plane is flying at a constant velocity through the air at 120 km/h [s]. the wind is
blowing at a velocity of 50 km/h [w]. these two velocities can be added to determine the
plane’s total velocity with respect to the ground.
a) find the total velocity (add the velocity vectors – ie. tip-to-tail).
b) if the plane is flying between two cities that are 500 km apart, how long does
the trip take?

4. a jogger runs at a velocity of 2.8 m/s [w] for 50 minutes and then at a velocity of 3.2 m/s
[n300
w] for 30 minutes. calculate the total displacement of the jogger.
5. a hiker heads [n400

w] for 4.0 km, then [e100

n] for 3.0 km and finally she walks 2.5 km

[s400
w].
a) what was her total displacement?
b) in what direction should she walk to get back to her starting point in the
shortest possible distance?
c) if her average speed is 4.0 km/h for the entire trip, what was her average
velocity?

6. a student walks 5.0 m [e 30° n], 4.0 m [n 30° w], 6.0 m [s 20° w], and

a) 7.0 m [w 20° s].
b) find the student’s total displacement. draw the vectors.
c) find the student’s total distance.
d) if it took the student 40 � to walk that distance, calculate the speed.
e) calculate the student’s velocity.