a.
To Write: The function of the distance the pendulum swings.
a.
Answer to Problem 37E
The function is
Explanation of Solution
Given information: It is given that the table of values (1, 625), (2, 500), (3, 400)
Formula used: The standard form of the exponential function is
Calculation:
From the table let’s plug in the points onto the equation to find the values of a, b.
Using (1, 625)
Using (2,500)
Now, solve the equations.
Simplify it,
And
Now, plug in these values into the formula
b.
To find: After the number of swings the distance is 256mm.
b.
Answer to Problem 37E
After 5 swings the distance becomes 256.
Explanation of Solution
Given information: We are given with
Calculation:
Plug in the values of
Solve it for ‘n’
Divide both sides by 781.25
Take log on both sides,
Divide both sides by
Conclusion: So, after 5 wings the pendulum distance becomes 256 mm.
Chapter 6 Solutions
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