To calculate the Kangaroo’s maximum height and jump length.
Kangaroo’s maximum height is
Given:
The jump of the Kangaroo is modelled by the following function:
where
Graph:
Calculation :
To determine the jump length, the roots of the quadratic function is calculated and the length is simply the difference between those two root values. At these points, the function will have a value of zero, i.e.
Now, solving the roots as:
Taking the square root on both sides:
Hence, the root values are:
Now, the Kangaroo’s jump length is simply the difference of these root values:
So, the kangaroo’s maximum height is
Now, for the function
Now, at
Hence, maximum value of the function is
Chapter 1 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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