a.
Tofind: The values of
a.
Answer to Problem 97E
Explanation of Solution
Given:
Calculation:
From the Exercise
By usng the parametric formulas from the Exersice
Thus we can find the values of
b.
Graph of the rectangular equation for the path of the projectile from part ‘a’ by sketching the curve represented by the parametric equations.
b.
Answer to Problem 97E
Explanation of Solution
Given:
Calculation:
By using the graphing utility to graph the rectangular equation of the path of projectile,
Creating a table for the parametric equations to be graphed,
t | 0 | 0.2 | 0.4 | 0.6 | 0.8 | 1 | 1.2 | 1.4 |
x | 0.000 | 5.657 | 11.314 | 16.971 | 22.627 | 28.284 | 33.941 | 39.598 |
y | 7.000 | 12.017 | 15.754 | 18.211 | 19.387 | 19.287 | 17.901 | 15.238 |
Thus we can graph the rectangular and parametric equation of the path of the projectile.
c.
To find:The approximate maximum height of the projectile and its range using graphing utility.
c.
Answer to Problem 97E
The approximated maximum height is
The approximated maximum range is
Explanation of Solution
Given:
Calculation:
From the graph,
Maximum height is
Maximum range is
Thus we can find the maximum height and maximum range.
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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