Concept explainers
a.
To find: after how many seconds does the pinecone hits the ground.
a.
Answer to Problem 22Q
After 1.25 seconds
Explanation of Solution
Given information:
The height y (in feet) of a pinecone t seconds after falling from a tree is given by the function:
Calculation:
When the pinecone hits the ground its height is 0 feet.
Substituting
Now, here t represents time and time can never be negative, so solution is
Conclusion:
The pinecone hits the ground after 1.25 seconds.
b.
To find: which pinecone hits the ground in least amount of time.
b.
Answer to Problem 22Q
First pinecone hits the ground in least amount of time.
Explanation of Solution
Given information:
The height y (in feet) of a pinecone t seconds after falling from a tree is given by the function:
The constant term 25 in the equation (1) gives the initial height of the first pinecone.
Thus, the first pinecone falls from a height of 25 feet and the second pinecone falls from a height of 36 feet.
It is obvious that the pinecone which falls from a lower height will hit the ground earlier.
Thus, the first pinecone hits the ground in least amount of time.
Chapter 8 Solutions
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