a.
To write: the equations that represents the height h (in feet) as a function of time t (in seconds) for both the acorns.
a.
Answer to Problem 39E
Acorn 1:
Acorn 2:
Explanation of Solution
Given information:
The first acorn falls 45 feet.
The second acorn falls 32 feet.
Concept used:
The height (in feet) of a falling object t seconds after it is dropped from an initial height of
Calculation:
The height h (in feet) for the first acorn as a function of time t (in seconds) is found by substituting
The height h (in feet) for the second acorn as a function of time t (in seconds) is found by substituting
b.
To describe: how graphs of the two equations are related.
b.
Answer to Problem 39E
The graph which represents the height of the first acorn is a vertical translation 13 units up of the graph representing the height of the second acorn.
Explanation of Solution
Given information:
The equations that represents the height h (in feet) as a function of time t (in seconds) for both the acorns are:
Acorn 1:
Acorn 2:
Concept used:
Vertical translation:
The graph of
The vertical shift is k units up if
Consider the equation representing the height of first acorn:
It can be observed that
So, the graph of
Now, as
Chapter 8 Solutions
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