
Concept explainers
(a)
To draw: The graph of speed as a function of time.
(a)

Answer to Problem 38P
The graph of speed is shown in Figure 1.
Explanation of Solution
Given:
The object’s initially at rest and falls under the influence of gravity.
Formula used:
Newton’s first equation of motion,
v=u+at
Calculation:
Using the above formula, the speed of the object will be
v=0+9.8×tv∝t
The graph for the speed with respect to time is shown below.
Figure 1
In the above graph, x -axis represents time in seconds and y -axis represents speed in meter seconds.
Conclusion:
Thus, the speed as a function of time is shown graphically in Figure 1.
(b)
To draw: A graph of distance fallen as a function of time.
(b)

Answer to Problem 38P
The graph is shown in Figure 2
Explanation of Solution
Given:
The object’s initially at rest and falls under the influence of gravity.
Formula used:
Using Newton’s second equation of motion,
s=ut+12at2
Calculation:
Using the above formula, the distance traveled by the object will be
s=0+12×9.8×t2s=4.9×t2s∝t2
The distance time graph is shown in figure 2.
Figure 2
In the graph shown above, y -axis represents distance fallen in meters while x -axis represents the time in seconds.
Conclusion:
Thus, the distance fallen as a function of time will be a parabola as shown in Figure 2.
Chapter 2 Solutions
Physics: Principles with Applications
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