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A marathoner running at 2.8 m/s is excited about only having a little bit more to...

A marathoner running at 2.8 m/s is excited about only having a little bit more to go to finish the race. If it takes him 4 and a half minutes to reach the finish line from that point, and he accelerates by 0.002 m/s2 from then until the finish, how fast will he be running when he crosses the finish line?

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Answer #1

Initial velocity of the runner is vi=2.8m/s

Acceleration of the runner is a=0.002m/s2

Time taken by the runner to reach the finish line is

The acceleration of the runner is constant, the motion of the runner is governed by the kinematics equations for uniformly accelerated motion. To find the velocity of the runner after time t, that is when he reaches the finish line, we use

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