Concept explainers
(a)
Write two functions that models the height of the rocks after t seconds.
(a)
Answer to Problem 29PPS
The two functions are:
Explanation of Solution
Given:
A rock drops from a cliff 20, 000 inches above ground. Another rock drops from a cliff 30,000 inches above the ground.
Concept Used:
The formula
Calculation:
For the first rock, the initial height is 300 (
Therefore, the function for the first rock is
For the 2nd rock, the initial height is 700 (
Therefore, the function for the second rock is
Thus, the two functions are:
(b)
Find rock will reach the ground first.
(b)
Answer to Problem 29PPS
The first rock will reach the ground 2.3 seconds sooner than the second rock.
Explanation of Solution
Given:
A rock drops from a cliff 20, 000 inches above ground. Another rock drops from a cliff 30,000 inches above the ground.
Concept Used:
In order to figure out how long it takes each rock to reach the ground, set the height equal to 0 for both the equations.
Calculation:
In order to figure out how long it takes each rock to reach the ground, set the height equal to 0 for both the equations.
It takes the first rock about 4.3 seconds to reach the ground.
It takes the second rock about 6.6 seconds to reach the ground.
Since
Chapter 9 Solutions
Algebra 1
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