Concept explainers
(a)
Whether the slope of the graph between speed and reaction is positive or negative.
(a)
Answer to Problem 54A
Positive slope.
Explanation of Solution
Introduction:
Slope measures the relation between two variables. Slope is calculated by the ratio of the vertical change versus the horizontal change in the values of the variables when plotted on a graph. It can be positive, negative or zero.
A positive slope represents a direct relation which means that when one variable increases, the other variable also increases. Negative slope represents an inverse relation which means that one variable increases, the other variable decreases. A slope of zero means that there is a constant relationship.
The slope is positive for the graph between speed and driver’s reaction distance as they are linearly related.As speed increases the reaction distance increases.
Conclusion:
The slope is positive for the graph between speed and driver reaction.
(b)
Whether the slope of a distracted driver would be larger or smaller.
(b)
Answer to Problem 54A
Larger
Explanation of Solution
Introduction:
Slope measures the relation between two variables. Slope is calculated by the ratio of the vertical change versus the horizontal change in the values of the variables when plotted on a graph. It can be positive, negative or zero.
A positive slope represents a direct relation which means that when one variable increases, the other variable also increases. Negative slope represents an inverse relation which means that one variable increases, the other variable decreases. A slope of zero means that there is a constant relationship.
For a distracted driver, the slope is larger. The distracted driver will have a larger reaction time and hence a larger reaction distance.
Conclusion:
For a distracted driver the slope is larger.
Chapter 1 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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