To Plot: The data in a graph.
To Calculate: Acceleration and displacement after
Answer to Problem 10STP
The acceleration is
Explanation of Solution
Introduction:
To plot a graph, the independent variable is plotted on the x- axis and the dependent variable on the y- axis.
Time is the independent variable. Hence, it is plotted on the x -axis while velocity is the dependent variable which is plotted on the y -axis. Acceleration can be calculated using the slope while the displacement can be calculated using the area of the graph.
The slope of the graph gives the acceleration.
The slope is the vertical change upon horizontal change.
Simplifying
Hence, the acceleration is
To calculate the displacement, the area of the graph has to be calculated.
The area under the graph is the sum of the area of the rectangle and the area of the triangle.
Area of the rectangle
Area of triangle
Total area
Total area
Hence, the displacement
Conclusion:
The acceleration is
Chapter 3 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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