(a)
To find: The height of the ball bounce up to after its strike the ground for the 3rd time.
(a)
Answer to Problem 36RE
Explanation of Solution
Given: A ball is dropped from a height of 20 feet. Each time it strikes the ground, it bounces up to three-quarters of the previous height.
Initial height of the ball = 20 feet.
After each bounces up loose one-fourth height of the previous one.
After 1 bounce height of ball
After 2 bounce height of ball
After 3 bounce height of ball
(b)
To find: The height of the ball bounce up to after its strike the ground for the nth time.
(b)
Answer to Problem 36RE
Explanation of Solution
Given: A ball is dropped from a height of 20 feet. Each time it strikes the ground, it bounces up to three-quarters of the previous height.
Initial height of the ball,
After each bounces up loose one-fourth height of the previous one.
After 1 bounce height of ball
After 2 bounce height of ball
After n bounce height of ball
(c)
To find: The number of bounce when height is less than 6 inches.
(c)
Answer to Problem 36RE
Explanation of Solution
Given: A ball is dropped from a height of 20 feet. Each time it strikes the ground, it bounces up to three-quarters of the previous height.
Initial height of the ball,
After each bounces up loose one-fourth height of the previous one.
After n bounce height of ball
So,
Hence, 4 bounces.
(d)
To find: The total distance covered when stops bouncing.
(d)
Answer to Problem 36RE
Explanation of Solution
Given: A ball is dropped from a height of 20 feet. Each time it strikes the ground, it bounces up to three-quarters of the previous height.
Initial height of the ball,
After each bounces up loose one-fourth height of the previous one.
After n bounce height of ball
Total distance travelled by ball
Hence, total distance travel by ball before its stops is
Chapter 12 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
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