Answer:
The acceleration is
and the distance covered is 97.17 m.
Explanation:
Given that,
Initial speed of an automobile, u = 60 km/hr = 16.67 m/s
Final speed of an automobile, v = 80 km/hr = 22.2 m/s
Time, t = 5 s
We need to find the acceleration of the car and the distance traveled in this 5 sec interval. Let a is the acceleration. Using the definition of acceleration as :

Let d is the distance covered. Using the third equation of motion to find it as follows :

So, the acceleration is
and the distance covered is 97.17 m.
Explanation :
Speed of car, 
Kinetic energy of the car, 
Speed of car, 
Let
is the kinetic energy of the car when it is moving with 100 km/h.




Initial velocity of both cars are 0. Using third equation of motion :
So,
and 
t is same. So,



So, the braking distance at the faster speed is twice the braking distance at the slower speed.
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Ways to increase friction
- increase the area of contact
- increase the roughness of the contact materials
- dry up or take away any lubricant
- increase the pressure on the contact