A boat travels in three straight segments: 3.0km east at a speed of 12kmh−1, followed by 4.0km north at 8kmh−1, and finally 5.0km west at 10kmh−1.
a. Find the total time taken for the journey.
b. Calculate the boat's average speed for the entire trip.
c. Determine the magnitude and direction of the boat's average velocity for the entire trip.