Here,
Velocity of train A,
Velocity of train B,
Acceleration of train A,
Acceleration of train B,
Let initially A be ahead of B by a distance d. Let SB and SA be the distances travelled by trains B and A respectively in 50s.
As at t = 50 s the position of both the trains is same.
Therefore,
Now,
∴ original distance between them is,
Two cars A and B are travelling in same direction with speed respectively When car A is d distance behind the car B, the brakes on A are applied, causing retardation Show that to prevent a collision between A and B it is necessary that
Let be the velocities of particles A and B respectively. The relative velocity of B relative to A will be To find we will first change into and then add to as shown in figure. As makes an angle of with therefore will subtend an angle with
Now,
or
or
The angle that the relative velocity makes with is,
or