In a relay race, runner A is carrying the baton and has a speed of 3.4 m/s. When he is 25 m behind the starting line, runner B starts from rest and accelerates at 0.140 m/s². How fast is B traveling when A overtakes her? A)0.10 m/s B)0.33 m/s C)1.3 m/s D)2.0 m/s E)A never catches up.

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Quizplus · Accepted Answer

Runner A travels at a constant speed, while runner B accelerates from rest. To find when A overtakes B, set their distances equal: 3.4t = 0.5(0.140)t^2 + 25. Solving for t gives the time when A overtakes B. Then, use v = at to find B's speed at that time.

In a Relay Race, Runner a Is Carrying the Baton