1. Where the two particles involved start at the same point and the same time.

Use
to write down expressions for S_{A} and S_{B}, the distances
travelled by A and B in time t respectively.

The condition for overtaking is: SA = SB |

2. Where the two particles
start at the same time but one starts behind the other. i.e. there is a
distance lag.

Use
to write down expressions for S_{A} and S_{B}, the distances
travelled by A and B in time t respectively.

The condition for overtaking is: SB = SA + d |

3. Where the particles start
at the same point but at different times. i.e. there is a time lag.

The condition for overtaking
is the same as in 1 above i.e. S_{A} = S_{B}

The difference is that the
times are not the same. Let’s say B starts* t* seconds after A ,then: