Almost Hit By a Car!

A man drive his car with the speed 72 km/h, accidentally he sees a Boy in the middle of the road 48 meter from his car. The Driver needs 0.36 second to activate the brakes and when the brakes has been activated it gives 5 m/ s 2 s^{2} deceleration. Is the Boy got hit by the car?

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No Yes

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1 solution

Priyansh Saxena
Jul 21, 2015

By the third equation of motion v 2 u 2 = 2 × a × S v^{2}-u^{2}=2 \times a \times S we have v = 0 , u = 20 m s 1 , a = 5 m s 2 , S = ? v=0, u=20 ms^{-1}, a= 5ms^{-2}, S=? Solving for S here, we have S = 40 m S=40 m Now before the brakes come into play, the car moves on 72 km/h, i.e. 20 m/s for 0.36 second, covering 20 m s 1 × 0.36 s = 7.2 m 20ms^{-1} \times 0.36s = 7.2 m Removing 7.2 m from the given 48 m, we still have a distance greater than 40 m, therefore the boy is NOT hit.

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