A boat travels in three straight segments: east at a speed of

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A boat travels in three straight segments: 3.0 km3.0\,\text{km} east at a speed of 12 km h−112\,\text{km\,h}^{-1}, followed by 4.0 km4.0\,\text{km} north at 8 km h−18\,\text{km\,h}^{-1}, and finally 5.0 km5.0\,\text{km} west at 10 km h−110\,\text{km\,h}^{-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.

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