Concept explainers
a.
Find parametric equations that model the position of the ball as a function of time.
a.
Answer to Problem 83RE
Explanation of Solution
Given information:
Drew Brees throws a football with an initial speed of
Find parametric equations that model the position of the ball as a function of time.
Calculation:
The paramertric equations for the motion of the particle in projectile are given by the equations given as,
The initial speed given to the ball by the player is
So the equation is,
Consider
Consider positive time duration,
Hence, the position of the ball as a function of time
b.
How long is the ball in air?
b.
Answer to Problem 83RE
Explanation of Solution
Given information:
Drew Brees throws a football with an initial speed of
How long is the ball in air?
Calculation:
The maximum height of the ball can be determine by differentiating the height of the projectile and equation is to zero to obtain time instants, since the derivation of the height function expression the slope of the projectile path.
Now derivative of this function,
The double derivative of the height function is negative, the maximum height can be find by putting
Hence, the height of ball in air
c.
Determine the maximum height of the ball.
c.
Answer to Problem 83RE
Explanation of Solution
Given information:
Drew Brees throws a football with an initial speed of
When is the ball at its maximum height? Determine the maximum height of the ball.
Calculation:
The maximum height of the ball can be determine by differentiating the height of the projectile and equation is to zero to obtain time instants, since the derivation of the height function expression the slope of the projectile path.
Now derivative of this function,
The double derivative of the height function is negative, the maximum height can be find by putting
Hence, the maximum height of the ball is,
d.
Determine the horizontal distance the ball travels.
d.
Answer to Problem 83RE
Explanation of Solution
Given information:
Drew Brees throws a football with an initial speed of
Determine the horizontal distance the ball travels.
Calculation:
The horizontal distance the ball travels,
Hence, the horizontal distance the ball travels
e.
Using a graphing utility to graph the equation.
e.
Answer to Problem 83RE
Explanation of Solution
Given information:
Drew Brees throws a football with an initial speed of
Using a graphing utility to graph the equation.
Calculation:
Using a graphing utility to graph the equation is,
Hence the graph is drawn.
Chapter 10 Solutions
Precalculus
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Calculus: Early Transcendentals (2nd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus & Its Applications (14th Edition)
Precalculus (10th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
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