(a)
The parametric equations of the path of the football.
(a)
Answer to Problem 97E
The parametric equations of the path of the football are
Explanation of Solution
Given information:
The given parametric are.
Calculation:
The horizontal component of the velocity is
Calculate the parametric equations.
Therefore, the parametric equations of the path of the football are
(b)
The speed of the football when it is released.
(b)
Answer to Problem 97E
The initial speed of the football is
Explanation of Solution
Given information:
The given parametric are.
Calculation:
Let us solve the parametric equations to compute the value
Using first parametric equation.
Using the second parametric equation.
Substitute for
Therefore, the initial speed of the football is
(c)
The maximum height and path ofthe arrow profile using the graph.
(c)
Answer to Problem 97E
The maximum height of path ofthe footballis
Explanation of Solution
Given information:
The given parametric are.
Calculation:
The value of
The graph of the path of the football is shown in figure (1).
Figure (1)
From the above graph, the highest height is.
Therefore, the maximum height of path ofthe footballis
(d)
Thetime for the football to reach the player at a horizontal distance of
(d)
Answer to Problem 97E
The time for the football to reach the player at a horizontal distance of
Explanation of Solution
Given information:
The given parametric are.
Calculation:
Using the above equation.
Substitute
Therefore, the time for the football to reach the player at a horizontal distance of
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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