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0/1 points ! Previous Answere SerCP113.P.035.Ml. My Notes Ask Your Teacher Towns

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Question

0/1 points ! Previous Answere SerCP113.P.035.Ml. My Notes Ask Your Teacher Towns A and B in the figure below are 80.0 km apart. A couple arranges to drive from town A and meet a couple driving from town B at the lake, L. The two couples leave simultaneously and drive for 2.75 h in the directions shown. Car 1 has a speed of 81.0 km/h. If the cars arrive simultaneously at the lake, what is the spee of 2? Calculate the distance traveled by the first car and use the appropriate trigonometric relations to find the distance, and therefore the speed, of the second car. km/h 40.0 80.0 km Need Help? Read It Master t Master It Submit Answer Save Progress Practice Another Version

Explanation / Answer


distance travelled by car 1 , r1 = v1*t = 81*2.75 = 222.75 km

distance between A and B r = 80 km

distance travelled by car 2 , r2 = sqrt(r1^2 + r^2 - 2*r*r1*cos40)


r2 = sqrt(222.75^2 + 80^2 - 2*222.75*80*cos40)

r2 = 169.45 km


speed of car 2 , v2 = r2/t


v2 = 169.45/2.75


v2 = 61.6 km/h