a.
To write a set of parametric equations that model the path of the arrow.
a.
Answer to Problem 64E
Explanation of Solution
Given: The archer releases the arrow at height of 5 ft above the ground. The arrow leaves the bow at angle of
Calculation:
The parametric equations for the path of the arrow can be given as:
That is,
b.
To find the distance the arrow travels before it hits the ground.
b.
Answer to Problem 64E
Explanation of Solution
Given: The parametric equations for the path of the arrow is given as
Calculation:
When arrow hits the ground,
So,
That means, the arrow will hit the ground after
Therefore, the distance travelled by the arrow before hitting the ground is:
c.
To graph the path of the arrow by using a graphing utility and approximate the maximum height of the arrow.
c.
Answer to Problem 64E
55.988 ft.
Explanation of Solution
Given: The parametric equations for the path of the arrow is given as
Graph:
The graph the parametric equations using graphing utility as shown below.
From the graph it can be observed that the maximum height attained by the arrow is 55.988 ft above the ground.
d.
To find the total time the arrow is in air.
d.
Answer to Problem 64E
Explanation of Solution
Given: The parametric equations for the path of the arrow is given as
Calculation:
When arrow hits the ground,
So,
That means, the arrow will hit the ground after
Therefore, the arrow is in air for
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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