To find: the car’s speed along the highway.
Answer to Problem 32E
The car’s speed along the highway is
Explanation of Solution
Given information :
From the given diagram in the question,
We can see that
S is the line of sight distance.
S = 5mi.
Plane speed = 120mph.
All variables are differentiable functions of t .
Calculation:
We have to calculate the car’s speed along the highway.
From Pythagoras theorem,
Putting the value of
Differentiate with respect to t ,
Putting the value of S = 5,
Therefore,
To get how the fast the car is travelling, subtract the plane speed from zero.
Hence, the car’s speed along the highway is
Chapter 5 Solutions
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