A train starts from rest and accelerates uniformly at 100m/min^2 for 10 min. it then maintains a constant velocity for 20 minutes. the brakes are applied and then the train is uniformly retarded. it comes to rest in 5 minutes.Draw a velocity time graph and use it to find
1. retardation in last 5 minutes
2. Total distance travel
3. average velocity of the train
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Answer:
1. retardation in last 5 minutes= v-u/t
v=0
u=1000m/min
t=5 min
0-1000/5= -200m/min²
2.distance= area of this graph is a trapezium so
1/2*sum of parallel sides*height
1/2*(20+25)*1000
=26500metres
3.average velocity= total distance/total time
=26500/25=1060m/min
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