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a train stopping at two stations 4 KM apart takes 4 min of the journey from one station to another.assuming that it first accelerate with a uniform acceleration x and that of uniform retardation y.prove that 1/x+1/y=2
Dear student,
Let us assume, it takes a minutes to cover a distance of z metres. In this time, it accelerates with uniform acceleration x.
So, it would take 4-a minutes to cover the distance of 4-z metres. In this time, it decelerates with uniform deceleration y.
Hence, the acceleration produced for the first part would be equal to:
x=(2z/a^2)
The final velocity achieved would be equal to:
v_f=xa
Now for the decelartion part, we get:
(xa)^2=2y(4-a)
This yields:
y=2/(4-a)
Hence, solving the equation fo x, we get:
x=2/a.
Thus, solving these two together, yields the required result.
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