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Concept explainers
a.
Find parametric equation that model the motion of the train and Mary as a function of time.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 82RE
Explanation of Solution
Given information:
Mary’s train leaves at
Find parametric equation that model the motion of the train and Mary as a function of time.
[hint: the position
Calculation:
Let the position of train at time
The motion of Mary is given by equation,
Hence, the parametric equation for motion of train and Mary is
b.
Determine algebraically whether Mary will catch the train. If so, when?
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 82RE
Explanation of Solution
Given information:
Mary’s train leaves at
Determine algebraically whether Mary will catch the train. If so, when?
Calculation:
Consider the parametric equation for motion of train and Mary,
The time instant at which this will happens are imaginary .
Hence Mary will
c.
Simulate the motion of the train and Mary by simultaneously graphing the equations found in part
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 82RE
Explanation of Solution
Given information:
Mary’s train leaves at
Simulate the motion of the train and Mary by simultaneously graphing the equations found in part
Calculation:
Consider the parametric equation for motion of train and Mary, and graph the equation with respect to time.
From the graph the position of train and Mary are not same,
Hence, Mary will
Chapter 10 Solutions
Precalculus
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