Question

The speed of a train, hauled by a locomotive varies as shown below as it travels between two stations along a straight horizontal track.

Use the graph to determine

1. The maximum speed of the train.
2. The acceleration of the train during the first 2 minutes of the journey. 
3. The time during which the train is slowing down. 
4. The total distance in metres between the two stations. 
5. The average speed in m/s of the train. 

Answer 1

1. 22.5m/s
    
2. V = u + at
   22.5 = 0 + 120a
   22.5 = 120a
   0.1875m/s = a
    
3. =3min
   =3 x 60
   =180sec
    
4. = ½ (a + b) h
   = ½ (300 + 600) 22.5
   = ½ ((5x60))22.5
   = 10,125m
    
5. average speed= total distance/total time
   10800/10x60
   18m/s