Calculate the Sprinter's Final Speed at the Finish Line

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SUMMARY

The discussion focuses on calculating a sprinter's final speed at the finish line of a 100-meter dash, given a constant acceleration phase of 3.40 seconds. The sprinter accelerates for the first 3.40 seconds and maintains top speed for the remaining 6.60 seconds, completing the race in a total of 10 seconds. The solution involves using kinematic equations to determine the distance covered during both phases of the sprint, ultimately leading to the calculation of the sprinter's speed at the finish line.

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Homework Statement



A sprinter can accelerate with constant acceleration for 3.40 s before reaching top speed. He can run the 100-meter dash in 10 s.

What is his speed as he crosses the finish line? (in m/s)

Homework Equations



kinematic equations

The Attempt at a Solution



a (acceleration) is positive and nonzero for the first 3.40 s

a is zero for the last 6.60 s
 
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What is the distance covered in the first 3.40s? What is the distance covered in the last 6.60s ?
 
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