Linear motion. Include tables and diagrams where necessary. I will Reject handwriten Answers!!

2. Two passenger trains A and B, 240m apart are travelling at 164km/h and 88km/h respectively approach one another on a straight railway line. Train A is 150 metres long. Determine the time in seconds that elapses before the two trains completely pass each other. (3mks) 3. A minibus covered a distance of 210km at an average speed of 90km/h. If it travelled 3; of the distance at a speed of 105 km/h, at what speed did it travel the rest of the distance? (3mks) 4. Two buses P and Q leave Kisumu at 7.30 am and 9.30 am respectively. If their speeds are 60km/h and 100km/h respectively, find when Q catches up with P. (3mks) 5. (a) A boat's speed in still water is 4km/h. It cruises in a section AB of a river whose speed downstream is x km/h. If the boat takes 2 hrs more in return journey and AB = 6km. find the value of x and the total duration of the journey (8mks) (b) The whole journey in (a) above ended at 3.34am. Find the departure time in 24 hour clock system (2mks) 6. The figure below is a velocity time graph for a car. 80 Velocity (m's) 4 20 24 Time (seconds) (a) Find the total distance traveled by the car. (2 marks) (b) Calculate the deceleration of the car. (2 marks) 7. A bus started from rest and accelerated to a speed of 60km/h as it passed a billboard. A car moving in the same direction at a speed of 100km/h passed the billboard 45 minutes later. How far from the billboard did the car catch up with the bus? (3mks) 8. Nairobi and Eldoret are each 250km from Nakuru. At 8.15am a lorry leaves Nakuru for Nairobi. At 9.30am a car leaves Eldoret for Nairobi along the same route at 100km/h. Both vehicles arrive at Nairobi at the same time. (a) Calculate their time of arrival in Nairobi (2mks) (b) Find the cars speed relative to that of the lorry. (4mks) (c) How far apart are the vehicles at 12.45pm. (4mks) 9. A train whose length is 86 metres is traveling at 28 km/h in the same direction as a truck whose length is 10 metres. If the speed of the truck is 60 km/ h and is moving parallel to the train. Calculate the time it takes the truck to overtake the train completely. (3mks) 10. The distance between towns A and B is 360km. A minibus left A at 8.15am and traveled towards B at an average speed of 90km/hr. A matatu left B two and a third hours later on the same day and traveled towards A at an average speed of 110km/hr. a) i) At what time did the two vehicles meet? ii) How far from A did the vehicles meet? b) A motorist started from his home at 10.30am on the same day and travelled at an average speed of 100km/hr. He arrived at B at the same time as the minibus. Calculate the distance from A to his house. (10 mks) 11. A track traveling at 60 km/hr takes 1 hour 20 minutes more than a van traveling at 80 km/hr to cover the distance from Thika to Eldoret Calculate: a) The distance from Thika to Eldoret (2 marks) b) If the track leaves Thika at 2230 hrs and the van leaves Thika 30 minutes later, find the time the van catches up with the track (3 marks) c) At 2330 hrs a saloon car left Eldoret for Thika traveling at 120 km/hr and met the van at town K. find : I. The time they met (3 marks) Il. The distance between town K and the track at the time in C(1) above arks