A car is moving with speed u. Driver of the car sees red traffic light. His reaction time is t, then find out the distance travelled by the car after the instant when the driver decided to apply brakes. Assume uniform retardation ‘a’ after applying brakes

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$u t + \frac{u^{2}}{a}$

$2 ut + \frac{u^{2}}{a}$

$2 ut + \frac{u^{2}}{2 a}$

$ut + \frac{u^{2}}{2 a}$

answer is B.

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Detailed Solution

During reaction time, the car will move with constant speed, $S_{1} = u t$ distance covered by car after Brakes are applied $S_{2} = \frac{u^{2}}{2 a}$

Total distance $= S_{1} + S_{2} = ut + \frac{u^{2}}{2 a}$

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