Calculus Question - position of particle speed problem.

This problem is taken off college board AP***** sample exam.

An image of the problem is posted here for convenience.

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Using speed instead of velocity is throwing me off, could you please do this step by step?

Thank you for your assistance!

http://www.mathhelpforum.com/math-he...lex/cboard.bmp

There are also 5 possible choices, the correct answer is E. Also please note a calculator is not allowed on this section, so could you please explain this using techniques that can be done by hand only?

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