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What is stopping distance for vehicle ? |
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Answer» Solution :When brakes are applied to a moving vehicle, the DISTANCE it traavels before stopping is called stopping distance. Suppose, the VELOCITY of moving vehicle is `v_(0).` After applying brakes retardation : -a Distance covered : `d _(s)` (stopping distance) Final velocity `:v =0` In equation` v ^(2) -v _(0) ^(2) = 2ax` `therefore 0- v _(0) ^(2) = 2 (-a ) (d_(s)) (because v = 0, a =-a , s = d _(s))` `therefore v _(0) ^(2) = 2ad_(s)` `therefore d _(s) =(v_(0) ^(2))/(2a)` Here, a is VALUE of retardation and it is constant. Thus, stopping distance is proporational to SQUARE of the initial velocity. `therefore d_(s) prop v _(0) ^(2)` |
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