Question

Suppose that the freely falling object in the preceding exercise were also equipped with an odometer. Would the readings of distance fallen each second indicate equal or different falling distances for successive seconds?

Name: Problem 62, Chapter 3: Conceptual Physics
Uploaded: 2019-08-18T15:14:38-08:00
Duration: 3 min 15 s
Channel: Shital Rijal
Description: Suppose that the freely falling object in the preceding exercise were also equipped with an odometer. Would the readings of distance fallen each second indicate equal or different falling distances for successive seconds?

   Suppose that the freely falling object in the preceding exercise were also equipped with an odometer. Would the readings of distance fallen each second indicate equal or different falling distances for successive seconds?

Conceptual Physics

Paul G. Hewitt 12th Edition

Chapter 3, Problem 62

Instant Answer

Solved by Expert Shital Rijal

08/18/2019

Step 1

We will use the formula for distance traveled in uniformly accelerated motion, which is $s = ut + \frac{1}{2}at^2$, where $u$ is the initial velocity, $t$ is the time, and $a$ is the acceleration. Show more…

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Suppose that the freely falling object in the preceding exercise were also equipped with an odometer. Would the readings of distance fallen each second indicate equal or different falling distances for successive seconds?

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Key Concepts

Uniform Acceleration

Uniform acceleration refers to the condition where an object’s acceleration remains constant over time, such as the acceleration due to gravity for a freely falling object. This results in a nonlinear (quadratic) relationship between displacement and time, meaning that equal time intervals do not correspond to equal distances traveled.

Kinematic Equations

Kinematic equations govern the motion of objects under constant acceleration. For a freely falling object, the displacement is given by the equation s = (1/2)gt². This equation shows that the distance covered increases quadratically with time, which explains why the distance fallen in each successive second increases over time.

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