Question

$\mathrm{Xi}$ Yang is practicing for his driver's license test. He notices in the rearview mirror that a tree, located directly behind the automobile, is approaching his car as he is backing up. If the car is moving at $8.0 \mathrm{~km} / \mathrm{h}$ in reverse, how fast relative to the car does the image of the tree appear to be approaching?

Name: Problem 83, Chapter 23: College Physics
Uploaded: 2020-09-20T07:49:25-08:00
Duration: 1 min 33 s
Channel: Sophie S
Description: Xi Yang is practicing for his driver's license test. He notices in the rearview mirror that a tree, located directly behind the automobile, is approaching his car as he is backing up. If the car is moving at 8.0 km / h in reverse, how fast relative to the car does the image of the tree appear to be approaching?

   $\mathrm{Xi}$ Yang is practicing for his driver's license test. He notices in the rearview mirror that a tree, located directly behind the automobile, is approaching his car as he is backing up. If the car is moving at $8.0 \mathrm{~km} / \mathrm{h}$ in reverse, how fast relative to the car does the image of the tree appear to be approaching?

College Physics

lan Giambattista,… 2nd Edition

Chapter 23, Problem 83

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Solved by Expert Sophie S

09/20/2020

Step 1

We know that 1 km = 1000 m and 1 hour = 3600 seconds. So, we can convert 8.0 km/h to m/s as follows: 8.0 km/h * (1000 m / 1 km) * (1 h / 3600 s) = 8.0 * (1000/3600) m/s = 2.22 m/s Now, since the car is moving in reverse, the image of the tree in the rearview Show more…

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$\mathrm{Xi}$ Yang is practicing for his driver's license test. He notices in the rearview mirror that a tree, located directly behind the automobile, is approaching his car as he is backing up. If the car is moving at $8.0 \mathrm{~km} / \mathrm{h}$ in reverse, how fast relative to the car does the image of the tree appear to be approaching?

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Key Concepts

Plane Mirror Reflection

In a plane mirror, the image of an object appears to be as far behind the mirror as the object is in front of it. This principle means that any movement of the object relative to the mirror will be mirrored, often effectively doubling the perceived speed of approach or separation when viewed from the moving vehicle.

Reference Frames

The concept of reference frames is critical in analyzing motion since the observed speed of an object can change depending on the observer's frame of reference. In problems involving moving mirrors, it is important to consider both the observer's motion and the object's motion to accurately determine the apparent relative speed.

Relative Velocity

Relative velocity is the concept used to describe the speed of one object as observed from another moving object. It requires analyzing the motion in different reference frames and involves vector addition or subtraction of velocities depending on the direction of motion.

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