SOLUTION: I need help on this problem: A 50 meter dash runner starts at the gun and reaches the tape in 9 seconds. He accelerates continuously. What was his final velocity? Thank you!

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Question 274068: I need help on this problem:
A 50 meter dash runner starts at the gun and reaches the tape in 9 seconds. He accelerates continuously. What was his final velocity?
Thank you!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The formula is x+=+%281%2F2%29%2Aat%5E2+%2B+v%5B0%5Dt
where v%5B0%5D, initial velocity is zero
50+=+%281%2F2%29%2Aa9%5E2
100+=+81a
a+=+100%2F81
This is the change in velocity/time from start to finish, so
%28v%5Bf%5D+-+0%29%2F9+=+100%2F81
v%5Bf%5D+=+9%2A%28100%2F81%29
v%5Bf%5D+=+100%2F9 m/sec