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A car is behind a truck going 18 m/s on the highway. The
Chapter 2, Problem 74GP(choose chapter or problem)
A car is behind a truck going 18 m/s on the highway. The car’s driver looks for an opportunity to pass, guessing that his car can accelerate at and that he has to cover the 20-m length of the truck, plus 10-m extra space at the rear of the truck and 10 m more at the front of it. In the oncoming lane, he sees a car approaching, probably at the speed limit, 25 m/s (55 mph). He estimates that the car is about 500 m away. Should he attempt the pass? Give details
Questions & Answers
QUESTION:
A car is behind a truck going 18 m/s on the highway. The car’s driver looks for an opportunity to pass, guessing that his car can accelerate at and that he has to cover the 20-m length of the truck, plus 10-m extra space at the rear of the truck and 10 m more at the front of it. In the oncoming lane, he sees a car approaching, probably at the speed limit, 25 m/s (55 mph). He estimates that the car is about 500 m away. Should he attempt the pass? Give details
ANSWER:
Step 1 of 2
Initial speed of the car:
Acceleration of car:
Length of the truck :
Distance in front and back of the car:
Speed of the oncoming car:
Distance of the oncoming car from the driver:
We will calculate the time the oncoming car will take to cover the distance,