An athlete wants to run a 1500m race with an average velocity of 6.00 m/s. After running the first 500m, he notices that the time elapsed is 100 seconds. Panicking, he accelerates for “t” seconds at 0.2 m/seconds^2 and finishes the race at his new faster speed. He makes it just in time. How long did he accelerate for? (Use 5 significant figures in the answer)

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Asked Mar 6, 2019
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An athlete wants to run a 1500m race with an average velocity of 6.00 m/s. After running the first 500m, he notices that the time elapsed is 100 seconds. Panicking, he accelerates for “t” seconds at 0.2 m/seconds^2 and finishes the race at his new faster speed. He makes it just in time. How long did he accelerate for? (Use 5 significant figures in the answer)

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Expert Answer

Step 1

The speed of the athlete in the first 500 m is,

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Step 2

The velocity with which the athlete finishes the race from the definition of average velocity is, 

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Step 3

The time taken from the ...

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