❤❤A driver , having a definite reaction time is capable of stopping his car over a distance of 30m on seeing a red traffic signal when the speed of the car is 72 km/hr and over a distance of 10 M when the speed is 36 km/hr. find the distance over which he can stop the car if it were running at a speed of 54 km/hr . a GM Diet his reaction time and the the deceleration of the car remains same in all the three cases.
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Explanation:
72km/h*t
72*5/18*t m/s
=20t m/s
conversion in m/s
72km/h= 20m/s
54km/h= 15m/s
36km/h= 10m/s
thus,the brake stopped the car within the distance (30-20)
a power 2-20power 2/2(30-20t)
-20 power 2/2*(30-20t)
=-(20/3-2t)
similarly
a=(0-10power 2)/2(10-10t)
=-5/1-t
similarly
a=(0-15 power 2)/2(X-5t)
when X: distance travelled by car in third case
20/3-2t=5/1=15 power 2/2(X-15t)
t=1/2sec
X=18.75m
hope it help you