Level
pending

A train is moving rectilinearly with a velocity \(\displaystyle \upsilon =180{ km }/{ hr }\) . Suddenly an obstacle appears on the tracks and the brakes are applied.Now the velocity of the rain changes according to \(\displaystyle \nu =\upsilon -\alpha { t }^{ 2 }\) with \(\displaystyle \alpha =1{ m }/{ { s }^{ 2 } }\) . What is the breaking distance**(x)** of the train?How much time**(t)** must pass from the moment the brakes are applied before the train stops?

If absolute value of the breaking distance is **'x'** and absolute value of the time passed **'t'**. Find **x+t**.

[Use S.I units]

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