Jamaican sprinter Usain Bolt holds the world record for the men's 100 meter dash with a time of 9.58 seconds. Another runner is training to break this record and finds that he can accelerate at a constant rate of 1.07 m/s^2. Assuming that the runner starts from rest, will he be able to break the world record?

Question

Jamaican sprinter Usain Bolt holds the world record for the men's 100 meter dash with a time of 9.58 seconds.  Another runner is training to break this record and finds that he can accelerate at a constant rate of 1.07 m/s^2.  Assuming that the runner starts from rest, will he be able to break the world record?

a=v/t= the second runner dash with 9.76 seconds so no, he will not be able to break the record.

Is this right?

drwls · Answer

If the second runner can continue to accelerate at 1.07 m/s^2 from a standing start, after 9.58 seconds he will travel
(1.07/2)*(9.58)^2 = 49.1 m, and he will be very far behind when Bolt completes the race.