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Physics practice question How long does it take an automobile traveling in the left lane of...

Physics practice question

How long does it take an automobile traveling in the left lane of a highway at 55.0 km/h to overtake (become even with) another car that is traveling in the right lane at 25.0 km/h when the cars' front bumpers are initially 70 m apart?

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Answer #1

1 km = 1000 m

1 hour = 3600 sec

Speed of the first automobile = V1 = 55 km/hr = 55 x (1000/3600) m/s = 15.278 m/s

Speed of the second automobile = V2 = 25 km/hr = 25 x (1000/3600) m/s = 6.944 m/s

Time taken by the first automobile to overtake the other automobile = T

Distance traveled by the first automobile in this time = D1

D1 = V1T

Distance traveled by the second automobile in this time = D2

D2 = V2T

Initial distance between the bumpers of the cars = D = 70 m

D = D1 - D2

D = V1T - V2T

D = (V1 - V2)T

70 = (15.278 - 6.944)T

T = 8.4 sec

Time taken by the automobile in the left lane to overtake the car in right lane = 8.4 sec

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