In a two-dimensional motion, instantaneous speed v0 is a positive constant. Then which of the following is necessarily true?

1. the average velocity is not zero at any time.
2. average acceleration must always vanish.
3. displacements in equal time intervals are equal.
4. equal path lengths are traversed in equal intervals.

Hint: The magnitude of instantaneous velocity is equal to the speed.

Step: Find the distance covered.

We know that

 speed, v0= total distance travelled  time taken 

Therefore, total distance travelled = Path length
                                            = (Speed) x time taken

Hence, option (4) is the correct answer.