The answer is statement 2 which states that only the average velocity must be same but not necessarily the instantaneous velocity.
- The given situation is that two sprinters start the race on a straight track, in which they cross the finish line at the same time.
- So, they covered the same amount of distance at the same amount of time. This means that both their average velocity is equal, since it is independent of instantaneous velocity.
- One sprinter might start the race faster and finish at a slower speed whereas the other sprinter might start the race slower and finish the race at a faster speed. In this situation the final velocities are not equal.
Instantaneous velocity is the velocity of an object at a specific time whereas average velocity is the average velocity of an object throughout the time.
The given question is incomplete. The complete question is:
Two sprinters start a race along a straight track at the same time and cross the finish line at the same time.
Are their final velocities necessarily equal? Explain.
1 ) Yes, the final velocity is the instantaneous velocity at the moment a sprinter crosses the finish line, which will be the same between two sprinters. The instantaneous velocities for the entire race must be the same.
2) No, the final velocity is just the instantaneous velocity at the moment a sprinter crosses the finish line, which can vary between two sprinters. Only the average velocity for the entire race must be the same.
Therefore, the correct answer is statement 2.
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