Drivers are trained that if the velocity of a car is doubled then the distance required to bring the car to a halt should be four times. Explain.

When the speed of car is doubled, the distance required to stop it becomes 4 times. Why?

The time required by a motor car to travel a cartain distance is 3 hours less if its velocity be increased by 9 kilometres per hour. Again ,if the velocity be decreased by 6 kilometres per hour , then the time required by the car to travel the same distance is 3 hours more. Find the velocity of the car and the certain distance.

The distance between two station is d km. A train went the second station from the first station with uniform velocity. If the velocity of the train would be a km more, then the time taken by the train would be t hours lesser than before.

The retardation alpha of a particle in rectilinear motion is proportional to the square root of its velocity v. Assume that the constant A of proportionality is positive. The initial velocity of the particle is v_(0) . How far would the particle move before coming to rest? What would be the time required to travel that distance?

A particle travels half of the distance between A and B with a velocity v_(0) . During half of the time required to travel the remaining distance the particle moves with a velocity v_(1) and the rest with a velocity v_(2) . Find the average velocity of the particle.