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Vishrant Vasavada Grade: 11
        A driver takes 0.20 s to apply the brakes after he sees need for it. If he is driving a car at speed of 54 km/h and the brakes cause deacc. of 6 m/s^2,find the distance travelled by car after he sees need to put brakes. (ANSWER GIVEN: 22 m) JUSTIFY your answer
7 years ago

Answers : (1)

Ramesh V
70 Points
										

The car is moving at speed of 54 km/hr i.e., 15 m/sec


that is initial speed after applying brakes is (u) = 15 m/sec


say  at point A,  he sees the need to put brakes


        at point B,  he puts brakes and then car starts deceleratin


         at point C,  car finally comes to rest


 


from A to B it moves with speed of 15m/sec in 0.2 sec


so distance covered is S1 = v.t = 15*0.2 = 3 mts


from B to C it moves with constant deceleration of -6 m/sec2 and initial speed of 15m/sec


Using relation V2 - u2 = 2*(-a)*S


S2 = V2/2*a = 15*15 /(2*6) =18.75 mts


the distance travelled by car after he sees need to put brakes is S1+S2


 = 21.75 mts  ( nearly 22 mts)

7 years ago
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