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Concept explainers
To find:
a. Find parametric equations that model the motion of the ball as a function of time.
![Check Mark](/static/check-mark.png)
Answer to Problem 50AYU
a.
Explanation of Solution
Given:
Alice throws a ball straight up with an initial speed of 40 feet per second from a height of 5 feet.
Formula used:
Calculation:
, , ,
a.
To find:
b. How long is the ball in the air?
![Check Mark](/static/check-mark.png)
Answer to Problem 50AYU
b. The ball is in the air for secs.
Explanation of Solution
Given:
Alice throws a ball straight up with an initial speed of 40 feet per second from a height of 5 feet.
Formula used:
Calculation:
, , ,
b. When the ball is in the air .
Solving the equation ,
or
Hence, the ball is in the air for secs.
To find:
c. When is the ball at its maximum height? Determine the maximum height of the ball.
![Check Mark](/static/check-mark.png)
Answer to Problem 50AYU
c. Maximum height feet.
Explanation of Solution
Given:
Alice throws a ball straight up with an initial speed of 40 feet per second from a height of 5 feet.
Formula used:
Calculation:
, , ,
c. The maximum height occurs at the vertex.
seconds
Maximum height is when sec.
Maximum height feet.
To find:
d. Simulate the motion of the ball by graphing the equations found in part a.
![Check Mark](/static/check-mark.png)
Answer to Problem 50AYU
d.
Explanation of Solution
Given:
Alice throws a ball straight up with an initial speed of 40 feet per second from a height of 5 feet.
Formula used:
Calculation:
, , ,
d. We have plotted the graph above with so that the line is not on the top of .
Chapter 10 Solutions
Precalculus
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
Precalculus Enhanced with Graphing Utilities (7th Edition)
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