MA 113 MAT HON 101 Pre-ReZyBook ch PHY In a women\'s 100-m race, acc They cross

Question

MA 113 MAT HON 101 Pre-ReZyBook ch PHY In a women's 100-m race, acc They cross the finish line simultaneously, both setting a world record of 10.4 s g uniformly, Laura takes 2.10 s and Healan 3.15 s to attain their maximum speeds, which they each maintain for the rest of the race (a) What is the Heaien 3 597 (b) What are their respective maximum speeds my's m/s m/s m/s auramax 10.79 (c) Which sprinter is ahead at the 5.75-s mark, and by how much? Laura -V is ahead by 2 9 What is the maximum distance by which Healan is behind Laura? Your response is ithn 1 % o the correct value. This may be due to roun results to at least four-digit accuracy to minimize roundoff error. m iff error, or you could have a mistake in your calculation. Cary out al intermediate At what time does that occur? O Type here to search Hi e 9/7/2018

Explanation / Answer

Distance covered by Laura is:

D = (1/2)at2 + vt' = (1/2)(5.14)(2.1)2 + 5.14(2.1)t' = 11.334 + 10.794t'

Distance covered by Helen in the same time as Laura is:

d = (1/2)(3.597)(3.15)2 + 3.597(3.15)(t'-1.05) = 5.948 + 11.330t'

the distance between them will be:

D - d = 5.386 - 0.536t'

this distance will be maximum at t' = 0

therefore, the maximum distance between them is: (D-d)max = 5.386 m.

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