Concept explainers
To find: the distance between the bicycle and balloon increasing 3 seconds later.
Answer to Problem 22E
The distance between the bicycle and balloon is
Explanation of Solution
Given information:
From the given diagram in the question we can see that,
All variables are differentiable functions of t .
Calculation :
We have to calculate the distance between the bicycle and balloon increasing 3 seconds later.
First, we have to find the value of x .
x travels
Therefore,
We have to find y will be after 3 seconds.
y travels 1 feet/sec. so add 3 feet to 65 feet.
From Pythagoras theorem,
Putting the value of
Again,
From Pythagoras theorem,
Differentiate with respect to t .
Putting the value of
Hence, the distance between the bicycle and balloon is
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic
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