Math Problem Statement
A car travels along a straight road. The speed-time graph for this journey is shown.
During which labelled part of the journey is the resultant force on the car zero?
Solution
In the speed-time graph provided, the resultant force on the car is zero when the car is moving at a constant speed because there is no acceleration (Newton's First Law of Motion).
Looking at the graph:
- Section A: The car is accelerating, so the resultant force is not zero.
- Section B: The speed is constant, which means no acceleration and thus the resultant force is zero.
- Section C: The speed is constant again, so the resultant force is zero.
- Section D: The car is decelerating, so there is a negative acceleration and the resultant force is not zero.
Therefore, the resultant force on the car is zero during sections B and C of the journey.
Would you like more details or have any other questions? Here are some related questions:
- What does the area under the speed-time graph represent?
- How does the slope of the speed-time graph relate to acceleration?
- What would the graph look like if the car came to a stop?
- How does the concept of inertia relate to a flat section on a speed-time graph?
- Can you explain how friction affects the speed-time graph?
Tip: Remember, on a speed-time graph, a flat horizontal line indicates constant speed, where no net force is acting on the object.
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Math Problem Analysis
Mathematical Concepts
Physics
Newton's Laws of Motion
Formulas
-
Theorems
Newton's First Law of Motion
Suitable Grade Level
Grades 9-12
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