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Fig. Shows the v-t diagram for the motion of train as it moves from station A to station B. Draw a-t graph & find the average speed of the train & the distance between the stations

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. a-t graph

The value of accn = slope of v-t graph

From 030:a=(V2V1)/t=(120)/30=0.4

From 3090:a=(V2V1)/t=(00)/60=0

From 90120:a=(V2V1)/t=(012)/30=0.4

enter image description here

Distance = Area under v-t graph

=A1+A2+A3=(0.5×30×12)+(60×12)+(0.5×30×12)=180+720+180=1080m

Average velocity = total dist/ total time

=1080/120=9m/s

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