Correlation between the speed of an automobile and the distance required to stop the car when applying brakes:

Introduction:
The correlation between the speed of an automobile and the distance required to stop the car when applying brakes refers to the relationship between these two variables. It helps us understand how changes in one variable affect the other. In this case, we are examining how the speed of the car influences the braking distance.

Positive correlation:
A positive correlation exists when an increase in one variable is associated with an increase in the other variable, or a decrease in one variable is associated with a decrease in the other variable. In the context of the speed of an automobile and the distance required to stop, a positive correlation means that as the speed of the car increases, the distance required to stop the car also increases. This is because a higher speed requires more time and distance to decelerate and come to a complete stop.

Explanation:
When a car is traveling at a higher speed, it possesses more kinetic energy. When the brakes are applied, this kinetic energy needs to be dissipated in order to bring the car to a stop. The braking system of the car converts the kinetic energy into heat energy through friction between the brake pads and the rotors. However, the amount of heat generated and the ability of the braking system to dissipate it effectively have limits.

When a car is traveling at a higher speed, it requires a longer distance to come to a stop because the kinetic energy is greater. The brakes need more time and distance to dissipate the energy, and if the car is traveling at a very high speed, the brakes may not be able to dissipate the energy quickly enough, leading to a longer braking distance.

Conclusion:
Therefore, it is clear that there is a positive correlation between the speed of an automobile and the distance required to stop the car when applying brakes. As the speed increases, the braking distance also increases. This highlights the importance of maintaining a safe speed while driving and allowing for an appropriate braking distance to ensure the safety of the driver, passengers, and other road users.