Thursday, November 24, 2011

In a relay race, runner A is carrying the baton and has a speed of 2.8 m/s. When he is 25 m behind the starti?

In a relay race, runner A is carrying the baton and has a speed of 2.8 m/s. When he is 25 m behind the starting line, runner B starts from rest and accelerates at 0.080 m/s2. How fast is B traveling when A overtakes her?


A) 0.10 m/s


B) 0.33 m/s


C) 0.84 m/s


D) 2.0 m/s


E) Runner A never catches up.|||d = 25 - 2.8*t + 陆(.08)*t虏


For d = 0, t = 10.505 sec, 59.49 sec





Vb = a*t


Vb(10.505) = .08*10.505 = .84 m/s





If A failed to pass the baton at t = 10.505 sec, and B continued to accelerate, he would overtake A at the second time listed above, in which case





Vb(59.49) = .08*59.49 = 4.759 m/s

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