https://file.aiquickdraw.com/mathbot/file/17267669438376syslhgw.jpg

To find the acceleration of the car during the interval AB on the velocity-time graph, we need to calculate the rate of change of velocity over that interval. This can be done using the slope formula:

\[
\text{Acceleration} = \frac{\Delta \text{velocity}}{\Delta \text{time}}
\]

From the graph:
- Point A corresponds to \( t = 0 \) seconds and \( v = 0 \) m/s.
- Point B corresponds to \( t = 4 \) seconds and \( v = 20 \) m/s.

Using the slope formula, we calculate the acceleration as follows:
\[
\text{Acceleration} = \frac{20 \, \text{m/s} - 0 \, \text{m/s}}{4 \, \text{s} - 0 \, \text{s}} = \frac{20 \, \text{m/s}}{4 \, \text{s}} = 5 \, \text{m/s}^2
\]

This means the acceleration of the car during the interval AB is \(5 \, \text{m/s}^2\), which isn't one of the options provided. If this value seems unexpected based on the options, please double-check that the points A and B are correctly identified or consider if there's a scale factor on the graph that wasn't accounted for.

Would you like more details on this calculation or have any other questions? Here are some topics we could explore further:

1. How to determine velocity from a velocity-time graph.
2. How to calculate the total distance traveled using a velocity-time graph.
3. The relationship between acceleration, velocity, and displacement.
4. Explanation of uniform acceleration.
5. Understanding the area under a velocity-time graph.

**Tip:** When working with graphs, always check if the axes are scaled uniformly or if any scaling factors are applied.

A car travels northward on a straight stretch of highway. The graph below shows the velocity of the car during a 20-second time interval. What is the acceleration of the car during the interval AB?

Learn how to calculate acceleration from a velocity-time graph using the formula: acceleration = Δvelocity / Δtime. This example focuses on the car's acceleration during the interval AB, suitable for high school physics students. Key concepts include kinematics and motion along a straight path.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation