Math Kinematics And Bearing S3, 4 Caltec S.3

BEARING AND KINEMATICS A taxi and a saloon car left town A for town B 240km away at 8:00am, travelling at 90kmh-1 and 120kmh-1 respectively. After 20 minutes the saloon car had a puncture which took 30 minutes to fix. On the same pair of axes, draw a distance – time graph for the two vehicles and use it to determine a)How far from town A did the car catch up with the taxi? b) At what time did the saloon car catch up with the taxi? c) At what time did the taxi reach town B? Towns A and B are 300km apart. At 9.30 a.m, Mukasa was 60km away from town A moving towards town B on a Mate motor bike, when Byaruhanga set off from A on a Boxer moving non-stop at 50kmh-1 towards B.At 2.42 p.m.Byaruhanga overtook Mukasa and they continued with their journey. By using calculation, determine; the distance from A when Byaruhanga overtook Mukasa. Mukasa’s average speed (to 1 decimal point). times when Byaruhanga and Mukasa arrived at B. difference in times of arrival. 3. A plane flew from airport A due south for 300km to B. It then changed its course to a bearing of 250o flying for 350km to airport C. From C it flew to airport D 400km away on a bearing of 030o. (a). Draw an accurate diagram to show the journey of the plane using a scale of 1cm to represent 50km. (b). From your diagram, find the distance and bearing of (i). airport A from D (ii). airport D from B (c). If the average speed of the plane was 200kmhr-1, find the time taken for the whole journey Find the bearing of P from Q in the diagram below: N Q N 40° p A girl is …