Question

The position of a pinewood derby car was observed at various times; the results are summarized in the following table. Find the average velocity of the car for (a) the first second, (b) the last $3 \mathrm{s}$, and (c) the entire period of observation.$$\begin{array}{lllllll}\hline t(s) & 0 & 1.0 & 2.0 & 3.0 & 4.0 & 5.0 \\\hline x(\mathrm{m}) & 0 & 2.3 & 9.2 & 20.7 & 36.8 & 57.5 \\\hline\end{array}$$

Name: Problem 1, Chapter 2: Physics for Scientists and Engineers
Uploaded: 2020-10-02T18:30:10-08:00
Duration: 2 min 49 s
Channel: Khoobchandra Agrawal
Description: The position of a pinewood derby car was observed at various times; the results are summarized in the following table. Find the average velocity of the car for (a) the first second, (b) the last 3 s, and (c) the entire period of observation. t(s) 0 1.0 2.0 3.0 4.0 5.0 x(m) 0 2.3 9.2 20.7 36.8 57.5

   The position of a pinewood derby car was observed at various times; the results are summarized in the following table. Find the average velocity of the car for (a) the first second, (b) the last $3 \mathrm{s}$, and (c) the entire period of observation.$$\begin{array}{lllllll}\hline t(s) & 0 & 1.0 & 2.0 & 3.0 & 4.0 & 5.0 \\\hline x(\mathrm{m}) & 0 & 2.3 & 9.2 & 20.7 & 36.8 & 57.5 \\\hline\end{array}$$

Physics for Scientists and Engineers

Raymond A. Serway,… 6th Edition

Chapter 2, Problem 1

Instant Answer

Solved by Expert Khoobchandra Agrawal

10/02/2020

Step 1

It is given by the formula: \[ \text{Average velocity} = \frac{\text{Displacement}}{\text{Time interval}} \] Displacement is the change in position, so if we have two positions $ x_1 $ and $ x_2 $ at times $ t_1 $ and $ t_2 $, respectively, the Show more…

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The position of a pinewood derby car was observed at various times; the results are summarized in the following table. Find the average velocity of the car for (a) the first second, (b) the last $3 \mathrm{s}$, and (c) the entire period of observation.$$\begin{array}{lllllll}\hline t(s) & 0 & 1.0 & 2.0 & 3.0 & 4.0 & 5.0 \\\hline x(\mathrm{m}) & 0 & 2.3 & 9.2 & 20.7 & 36.8 & 57.5 \\\hline\end{array}$$

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Key Concepts

Time Interval

The time interval is the duration over which measurements are taken or calculated. It is determined by subtracting the initial time from the final time of observation and is critical for computing average velocity and other time-dependent quantities.

Average Velocity

Average velocity is defined as the total displacement divided by the total time interval over which the displacement occurs. It provides a measure of how fast an object is moving in a particular direction over a specified period of time.

Displacement

Displacement refers to the change in position of an object and is calculated as the difference between the final and initial positions. This vector quantity takes into account only the starting and ending points, regardless of the path taken between them.

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