A delivery van starts from town P and travels successively along straight roads as…

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

Problem

A delivery van starts from town P and travels successively along straight roads as follows: • P to Q: 24 km24\,\text{km} due east in 30 min30\,\text{min} • Q to R: 18 km18\,\text{km} due north in 20 min20\,\text{min} • R to S: 12 km12\,\text{km} due west in 15 min15\,\text{min} Assume the directions are exactly along the cardinal points. (a) Compute the total distance travelled and the total time taken. (b) Determine the magnitude of the resultant displacement from P to S. (c) Calculate the average speed for the entire journey. (d) Calculate the magnitude and compass direction of the average velocity for the entire journey.

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