1. On a foggy day, two car driver spot each other when they are just 80 m apart.They are travelling at 72 km/hr and 60 km/hr respectively towards each other. Both of them simultaneously apply brakes, which retard both the cars at a rate of 5 m/s2. Determine whether the avert the collision or not.

Lets find the distance travelled by both before they come to a halting stop.
Car 1
u = 72kmph= 20 m/s
a = -5m/s2
v2-u2=2as
02-202=2*(-5)s
s= 40 m

Car 2:
u = 60kmph= 16.66 m/s
a = -5m/s2
v2-u2=2as
02-16.62=-2*5*s
s = 27.7 m

Since they are 80 m apart and sum of both their distance is less than 80, they would stop before time.
There would no collision.

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