# A runner, beginning from x = 0 and t = 0, accelerates at a constant rate for 10 seconds and reaches a speed of 8 m/sec. The runner maintains that speed  until he reaches x = 100 m. Find t100, the time at which the runner reaches 100 m. Explain your approach and assumptions.

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A runner, beginning from x = 0 and t = 0, accelerates at a constant rate for 10 seconds and reaches a speed of 8 m/sec. The runner maintains that speed  until he reaches x = 100 m. Find t100, the time at which the runner reaches 100 m. Explain your approach and assumptions.

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Step 1

Write the expression of the velocity as a function of time.

Step 2

At this acceleration the runner travels for 10 seconds. Therefore, the distance travelled in the 10 seconds is:

Step 3

Remaining distance that the runner tra...

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