Question #233454

A woman driving a car 14 ft long is passing a truck 30 ft long. The truck is

traveling at 50 mi/h.

How fast must the woman drive her car so that she can pass the truck

completely in 6 seconds, 


1
Expert's answer
2021-09-06T11:35:12-0400

30 ft=9.144 m30\ ft=9.144\ m

14 ft=4.2672 m14\ ft=4.2672\ m


50 mi/h=22.352 m/s50\ mi/h=22.352\ m/s


(v2v1)t=s1+s2(v222.352)6=9.144+4.2672(v_2-v_1)t=s_1+s_2\to(v_2-22.352)\cdot6=9.144+4.2672\to


v2=24.5872 (m/s)=55 (mi/h)v_2=24.5872\ (m/s)=55\ (mi/h) . Answer

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