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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 2 / Problem 77P

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Solved: Passing. The driver of a car wishes to pass a

Chapter 2, Problem 77P

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QUESTION:

Problem 77P

Passing. The driver of a car wishes to pass a truck that is traveling at a constant speed of 20.0 m/s (about 45 mi/h). Initially, the car is also traveling at 20.0 m/s, and its front bumper is 24.0 m behind the truck’s rear bumper. The car accelerates at a constant 0.600 m/s2, then pulls back into the truck’s lane when the rear of the car is 26.0 m ahead of the front of the truck. The car is 4.5 m long, and the truck is 21.0 m long. (a) How much time is required for the car to pass the truck? (b) What distance does the car travel during this time? (c) What is the final speed of the car?

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QUESTION:

Problem 77P

Passing. The driver of a car wishes to pass a truck that is traveling at a constant speed of 20.0 m/s (about 45 mi/h). Initially, the car is also traveling at 20.0 m/s, and its front bumper is 24.0 m behind the truck’s rear bumper. The car accelerates at a constant 0.600 m/s2, then pulls back into the truck’s lane when the rear of the car is 26.0 m ahead of the front of the truck. The car is 4.5 m long, and the truck is 21.0 m long. (a) How much time is required for the car to pass the truck? (b) What distance does the car travel during this time? (c) What is the final speed of the car?

ANSWER:

Solution 77P

Distance moved by the car to pass the truck is $=24\ m+21\ m+4.5\ m+26\ m$

$=75.5\ m$

The distance moved by the truck is $=20.0t$ , if t is the time of travel.

Total distance moved by the car is $=20.0t+\frac{1}{2}\times{}0.600\times{}t{\ }^{2}$

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