If a sprinter ran 9.69 in the 100 meters, what would that time be at 36.5 meters?

Question

maverick? Usian Bolt ran that time at the Summer Olympics recently.

Answer 1

If the sprinter ran the whole 100 meters at a constant speed (which is impossible because you start at 0) then just simply take 9.69 and divide it by 100.  Then multiply the answer by 36.5.

More realistically, sprinter's speed changes constantly through a race.  The acceleration in the beginning, the leveling off in the middle, then the last ditch effort at the end.  So the time at each point might not be linear throughout the race.  but the above probably answers your question if it was a school match question.

Answer 2

The obvious answer would be 3.54 seconds, but it's wrong.

If you simply convert to meters per second (100m/9.69s) to get 10.32 m/s and use it with the new distance (36.5m) you get 3.54 seconds.

This is an equation for linear velocity.  There is an acceleration period in the beginning that would be unaccounted for.  For simply math the answer would be 3.54, but it real life he wouldn't run that fast.  He'd be slightly slower.

Answer 3

That's the lightning bolt...

Take 9.69seconds divided by 100 meters which is equal to 0.0969seconds in 1 meter.

Take 0.0969seconds multiplied by 36.5 which is equal to 3.53685seconds.

That guy ran 36.5 meters in 3.53685.

Although it takes time to build up speed, this is a maths question... unless you tell us how long he take to get to the constant speed.