To find: the particle’s distance from the origin changing as it passes through the origin
Answer to Problem 28E
The particle’s distance from the origin is
Explanation of Solution
Given information:
All variables are differentiable functions of t .
Calculation :
We have to calculate the particle’s distance from the origin changing as it passes through the origin
Therefore,
To find the distance in the coordinate plane, we use Pythagoras theorem.
Differentiate with respect to t using chain rule.
Putting the value of
Hence, the particle’s distance from the origin is
Chapter 5 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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