# Form 2 Mathematics Video Questions and Answers on Linear Motion

Form 2 Mathematics Video Questions and Answers on Linear Motion.

Find detailed video questions and answers on linear motion. The questions have been extracted from past exams.

Lessons (**42**) * SHARE*

- 1.
Two towns T and S are 300 km apart. Two buses A and B started from T at the same time travelling towards S. Bus B, travelling at an average speed of 10 km h-1 greater than that of A reached S #1 1/4# hours earlier. (a) Find the average speed of A (b) How far was A from T when B reached S

8m 12s - 2.
Mwangi and Otieno live 40 km apart. Mwangi starts from his home at 7.30 am and cycles towards Otieno’s house at 16km/h. Otieno starts from his home at 8.00 am and cycles at 8km/h towards Mwangis. At what time do they meet?

4m 8s - 3.
A minibus covered a distance of 180 km at an average speed of 90 km/hr. It travelled at a speed of 80 km/hr for #2/3# of its journey. At what speed did it travel the remaining part of the journey?

3m 1s - 4.
In a race, Ogot, running at a constant speed of 8 m/s, is 5 m ahead of Ondiek. If Ondiek maintains a constant speed of 10 m/s, how far does Ondiek run before catching up with Ogot?

2m 9s - 5.
A bus takes 195 minutes to travel a distance of (2x+30) km at an average speed of (x-20) km/h. Calculate the actual distance travelled. Give your answer in kilometers.

3m 6s - 6.
Two lorries A and B ferry goods between two towns which are 3120 km apart. Lorry A travelled at 5 km/h faster than lorry B and lorry B takes 4 hours more than lorry A to cover the distance. Calculate the speed of lorry B.

5m 28s - 7.
Two towns A and B are 220 km apart. A bus left town A at 11.00 am and travelled towards B at 60 km/h. At the same time, a matatu left B for town A and travelled at 80 km/h. The matatu stopped for a total of 45 minutes on the way before meeting the bus. Calculate the distance covered by the bus before meeting the matatu.

4m 26s - 8.
A passenger noticed that she had forgotten her bag in a bus 12 minutes after the bus had left. To catch up with the bus, she immediately took a taxi which travelled at 95 km. The bus maintained an average speed of 75 km/h. Determine (a) The distance covered by the bus in 12 minutes (b) The distance covered by the taxi to catch up with the bus.

3m 55s - 9.
A town N is 340 k due west of town G and town K is due west of town N. A helicopter Zebra left G for K at 9.00 a.m. Another helicopter Buffalo left N for K at 11.00 a.m. Helicopter Buffalo travelled at an average speed of 20km/h faster than Zebra. If both helicopters reached K at 12.30 p.m. , find the speed of helicopter Buffalo.

7m 6s - 10.
A train moving at an average speed of 72 km/h takes 15 seconds to completely cross a bridge that is 80 metres long. (i) Express 72km/h in metres per second. (ii) Find the length of the train in metres.

3m 0s - 11.
Two trains #T_1# and #T_2# travelling in opposite directions, on parallel tracks, are just beginning to pass one another. Train #T_1# is 72 m long and is travelling at 108 km/h. #T_2# is 78 m long and is traveling at 72 km/h. Find the time, in seconds, the two trains take to completely pass one another.

2m 34s - 12.
The distance between towns M and N is 280 km, A car and a lorry travel from M to N. The average speed of the lorry is 20km/h less than that of the car. The lorry takes 1h 10 minutes more than the car to travel from M to N. (a) If the speed of the lorry is x km/h, find x. (b) The lorry left town M at 8.15 a.m. The car left town M later and overtook the lorry
at 12.15 p.m. Calculate the time the c

8m 18s - 13.
A bus left Mombasa and travelled towards Nairobi at an average speed of 60 km/h.
After #2 1 /2# hours, a car left Mombasa and travelled along the same road at an average speed of 100 km/ h. If the distance between Mombasa and Nairobi is 500 km, determine. (a) (i) the distance of the bus from Nairobi when the car took off.
(ii) the distance the car travelled to catch up with the bus.

7m 39s - 14.
A rally car travelled for 2 hours 40 minutes at an average speed of 120 km/h. The car consumes an average of 1 litre of fuel for every 4 kilometres. A litre of fuel costs ksh 59. Calculate the amount of money spent on the fuel.

1m 41s - 15.
A bus travelling at an average speed of 63 km/h left a station at 8.15 a.m. A car later left the same station at 9.000 a.m. and caught up with the bus at 10.45 a.m. Find the average speed of the car.

3m 19s - 16.
A vehicle moves at an initial speed of 20m/s with a constant acceleration of #2ms^(2)# for five seconds before brakes are applied. If the car comes to rest under constant deceleration in 4 seconds, determine the total distance travelled during the 9 seconds.

2m 21s - 17.
Two athletes in an 800 metre race take 104 seconds and 108 seconds respectively to complete the race. Assuming each athlete is running at a constant speed, calculate the distance between them when the faster athlete is at the finishing line.

1m 44s - 18.
Two policemen were together at a round junction. Each had a walkie talkie. The maximum distance at which one could communicate with the other was 2.5 km. One of the policemen walked due East at 3.2 km/h while the other walked due North at 2.4 km/h. The policeman who headed East travelled for x km while the one who headed North
travelled for y km before they were unable to communicate.

7m 12s - 19.
A bus travelling at an average speed of 63 km/h left a station at 8.15 a.m. A car later left the same station at 9.00 a.m. and caught up with the bus at 10.45 a.m. Find the average speed of the car.

3m 28s - 20.
A heavy commercial truck left Murang'a at 8.00 am for Nairobi, a distance of 60 km at a speed of 40 km/h. If 30 minutes later, a matatu left Murang'a for Nairobi at a speed of 80 km/h. Find the time the matatu overtook the truck.

4m 27s - 21.
How long will it take a car 3 metres long moving at 100 km/h to overtake a truck 10 m long moving at 50 km/h if the car is 10 m behind the truck?

2m 28s - 22.
A motorist left Embu for Nairobi, a distance of 240 km, at 8.00 am and travelled at an average speed of 90 km/h. Another motorist left Nairobi for Embu at 8.30 am and travelled at 100 km/h. Find:
(a) the time they met.
(b) how far they met from Nairobi

4m 47s - 23.
A cyclist travelling at 15 km/h left Kitale at 7.00 a.m. for Kakamega, a distance of 70 km. Another cyclist left Kakamega for Kitale at 8.00 am. If they met after 2 #1/2# hours, find the speed of the second cyclist.

3m 8s - 24.
A matatu left town A at 7 am. and travelled towards a town B at an average speed of 60 km/h. A second matatu left town B at 8 am and travelled towards town A at 60 km/h. If the distance between the two towns is 400 km, find:
(a) the time at which the two matatu met.
(b) the distance of the meeting point from town A.

4m 48s - 25.
Juma cycled for #2 1/2# hours to Mula Trading Centre, 30 km away from his home. He then took his business van and drove at an average speed of 80 km/h to a town 180 km away and back to Mula. He finally cycled home at an average speed of 15 km/h. Find the average speed for the whole journey.

4m 30s - 26.
A motorist travelled for 2 hours at a speed of 80 km/h before his vehicle broke down. It took him half an hour to repair the vehicle. He then continued with his journey for #1 1/2# hours at a speed of 60 km/h. Determine his average speed.

2m 22s - 27.
John travelled from town A to town B, a distance of 30 km. He cycled for #1 1/2#hours at a speed of 16 km/h and then walked the remaining distance at a speed of 3 km/h. Find his average speed for the journey.

2m 33s - 28.
Anne takes two hours to walk from home to her place of work, a distance of 8 km. On a certain day, after walking for 30 minutes, she stopped for ten minutes to talk to a friend. Determine the average speed she should walk to reach on time.

3m 10s - 29.
A motorist drove for 1 hour at 100 km/h. She then travelled for # 1 1/2# hours at a different speed. If the average speed for the whole journey was 88 km/h, find the average speed for the latter part of the journey.

2m 45s - 30.
A commuter train moves from station A to station D via stations B and C in that order. The distance from A to C via B is 70 km and that from B to D via C is 88 km. Between the stations A and B, the train travels at an average speed of 48 km/h and takes 15 minutes. Between the stations C and D, the average speed of the train is 45 km/h. Find:
(a) this distance from B to C.

9m 38s - 31.
The initial velocity of a car is 10 m/s. The velocity of the car after 4 seconds is 30 m/s. Find its acceleration.

0m 45s - 32.
A bus accelerates from a velocity of 12 m/s to a velocity of 25 m/s. Find the average velocity during this interval.

0m 42s - 33.
A car moves with a constant acceleration of 8 m/#s^2# for 5 seconds. If the final velocity is 40 m/s, find the initial velocity.

1m 4s - 34.
A train driver moving at 40 km/h applies brakes so that there is a constant retardation of 0.5 m/#s^2#. Find the time taken before the train stops.

2m 29s - 35.
The velocity of a particle increases uniformly from 27 m/s to 57 m/s in one minute. Find the acceleration.

0m 47s - 36.
The driver of a minibus which is moving at 80 km/h notices a road block a short distance ahead. He applied brakes immediately so that the minibus moves with constant deceleration for 5 seconds before coming to rest at the road block. Find:
(a) the average velocity of the minibus during the 5 seconds.
(b) the deceleration

2m 23s - 37.
The figure below shows a travel graph for a motorist who starts his journey at 12 noon and drives to a town 45 kilometres away.
Use the figure to answer the questions below:
(a) Find the average speed of the motorist:
(i) between 12 noon and 1 pm.
(ii) between 1 p.m and 2 pm.
(iii) between 1 p.m and 3 pm.
(iv) for the whole journey.
(v) for the first 200 kilometres.

9m 31s - 38.
A man leaves home at 9.00 am and walks to a bus stop 6 km away at an average speed of 4 km/h. He then waits at the bus stop for 25 minutes before boarding a bus to a town 105 km away. The bus travels at an average speed of 60km/h. Draw a distance time-graph for the journey and use it to answer the following questions:
(a) State the time the man was 100 km from home.
(b) How far away from home was

6m 7s - 39.
A car is travelling at 40 m/s. Its brakes are applied and it then decelerates at 8m/#s^2#. Use a velocity-time graph to find the distance it travels before stopping.

2m 17s - 40.
A particle is projected vertically upwards with a velocity of 30 m/s. If the retardation to motion is 10m/#s^2#, use a graphical method to find the maximum height reached by the particle.

2m 42s - 41.
The figure below shows a velocity-time graph of a particle moving along a West-East straight line, with velocity considered positive eastwards.
Use the graph to answer the following questions:
(a) Find the velocity of the particle:
(i) after 5 seconds.
(ii) after 15 seconds.
(iii) after 20 seconds.
(iv) after 40 seconds.
(b) Find the acceleration of the particle:

13m 16s - 42.
A particle moving with a velocity of 25 m/s along a North-South straight line passes through a point P at 11.00 am. If the acceleration is 5 m/#s^2# southwards:
(a) Find the velocity of the particle (give direction):
(i) 4 #1/2# seconds after 11.00 am.
(ii) 6 seconds after 11 am.
(iii) 2 seconds before 11 am.
(b) Find the average velocity of the particle:
(i) during the first 10 seconds

7m 44s

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