I am given the question: A car is behind a truck going 26 m/son the highway. The
ID: 1759708 • Letter: I
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I am given the question: A car is behind a truck going 26 m/son the highway. The car's driver looks for an opportunity to pass,guessing that his car can accelerate at 1.1 m/s2. Hegauges that he has to cover the 20 m length of the truck, plus 10 mclear room at the rear of the truck and 10 m more at the front ofit. In the oncoming lane, he sees a car approaching, probably alsotraveling at 26 m/s. He estimates that the car is about 387 m away.Should he attempt the pass? I am given the question: A car is behind a truck going 26 m/son the highway. The car's driver looks for an opportunity to pass,guessing that his car can accelerate at 1.1 m/s2. Hegauges that he has to cover the 20 m length of the truck, plus 10 mclear room at the rear of the truck and 10 m more at the front ofit. In the oncoming lane, he sees a car approaching, probably alsotraveling at 26 m/s. He estimates that the car is about 387 m away.Should he attempt the pass?Explanation / Answer
s = v0 t + 1/2 a t2 Since v0 is the same for both the truck and the carthe additional distance traveled by the car is s = 1/2 a t2 = 40 m thedistance needed by the car t = (80 / 1.1) = 8.53 sec Distance traveled by car s = 26 * 8.53 + 1.1* 8.532 / 2 = 262 m Distance traveled by oncoming car s = 8.53 * 26 = 222m Total distance required 484 m - don't pass! Since v0 is the same for both the truck and the carthe additional distance traveled by the car is s = 1/2 a t2 = 40 m thedistance needed by the car t = (80 / 1.1) = 8.53 sec Distance traveled by car s = 26 * 8.53 + 1.1* 8.532 / 2 = 262 m Distance traveled by oncoming car s = 8.53 * 26 = 222m Total distance required 484 m - don't pass!Related Questions
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