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  • A car moving along a straight highway with speed of 126 km h-1 is brought to a stop within a distance of 200 m. What is the retardation of the car (assumed uniform), and how long does it take for the car to stop?

A car moving along a straight highway with speed of 126 km h-1 is brought to a stop within a distance of 200 m. What is the retardation of the car (assumed uniform), and how long does it take for the car to stop?

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eginarrayl ext Answer: Given v_0=126 km h ^-1=126 imes frac518=35 ms ^-1\ ext Distance X =200 m , v =0, t =? ext and a =?\ v^2=v_0^2+2 a X\ ext Or, 0=v_0^2+2 a X\ ext Or, X=-fracv_0^22 a\ ext Or, 200=-frac35^22 a\ ext Or, a=-frac12252 imes 200=-3.06 m s ^-2\ ext Now, time can be calculated as follows: \ v=v_0+a t\ ext Or, 0=35-3.06 t\ ext Or, t=frac353.06=11.4 s endarray

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Deependra Verma

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