MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
Ashok leaves his house and walks 3km due east, then 4km due north, and finally returns home along the shortest possible straight path.
(i) Calculate the total distance covered by Ashok in reaching the point 4km north of his house.
(ii) Find the magnitude of his displacement from home at that point.
(iii) Work out the total distance and the net displacement for the entire trip when he arrives back home.
(iv) If the complete journey takes 2h, compute his average speed and average velocity for the trip.