Two cars A and B are moving in same direction with velocities 30 m/s and 20 m/s. When car A is at a distance d behind the car B, the driver of the car A applies brakes producing uniform retardation of `2m//s^(2)`. There will be no collision when :-

Two car A and B travelling in the same direction with velocities v_1 and v_2(v_1 gt v_2) . When the car A is at a distance d ahead of the car B , the driver of the car A applied the brake producing a uniform retardation a . There wil be no collision when.

Two cars, A and B, are traveling in the same direction with velocities v_(a) and v_(b) respectively. When car is at a distance d behind car B, the brakes on A are applied, causing a deceleration at a rate a. Show that to prevent a collision between A and B it is necessary that:

A car is moving with a velocity of 20 m//sec . The driver sees a stationary truck at a distance of 100 m ahead. After some reaction time Deltat . He applies the brakes, producing a retardation of 4 m//s^(2) . The maximum reaction time to avoid collision.

On a straight road, two cars X and Y are moving in the same direction, Velocity of car X is 20m/s and that of car Y is15 m/s. Find the velocity of X relative to Y and vice versa.

Two cars 1 and 2 move with velocities v_(1) and v_(2) , respectively, on a straight road in same direction When the cars are separated by a distance d the driver of car 1 applies brakes and the car moves with uniform retardation a_(1) , Simultaneously, car 2 starts accelerating with a_(2) , If v_(1) lt v_(2) , find the minimum initial separation between the cars to avoid collision between then.

Car A and car B are both travelling down a straight highway at 90 km/h. car A is only 6.0 meters behind car B. the driver of car B brakes , slowing down with a constant deceleration of 2.0 m//s^(2) . After 1.2 seconds, the driver of car A begins to brake, also at 2.0 m//s^(2) , but this is insufficient and the cars eventually collide, both still moving forward. what is the relative velocity of the two cars at the moment of the collision ?