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Chilukuri Sai Kartik Grade: 12
        

A train stopping at 2 stations 4 km apart takes 4 min on the journey from one of the station to the other.Assuming that it first accelerates with uni.acceleration x and then that of uniform retardation y, prove that (1/x)+(1/y)=2

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Chilukuri


let t1 is time of acceleration and s1 is distance covered in this time .v is the velocity after time t


let t2 is time of retardation and s2 is distance covered in this time .


v2=02-2xs1


s1=v2/2x..............1


v=0+xt1


v/x=t1 ..................2


 


and  0=v-yt2


   t2=v/y .................3


02=v2-2ys2


s2=v2/2y..............4


add 2 and 3


1/x  +1/y  =(t1+t2)/v


               =4/v..........5


add 1 and 4


s1+s2 =v2/2(1/x +1/y)


4=v2/2(1/x +1/y)


or (1/x +1/y) =8/v2


put value of v from equation 5


1/x +1/y  =2





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7 years ago
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