Concept explainers
To find: Total distance travelled by ball.
Answer to Problem 48E
Total distance travelled by ball is
Explanation of Solution
Given:
Height from which ball is dropped is 4 m.
Ball rebounds to a height 0.06 h after striking the floor.
Formula used:
A geometric progression with initial term
Calculation:
Distance travelled by ball before 1st striking is 4 m.
Now,
Height attained after 1st strike is
So, distance travelled by ball after 1st and before 2nd strike is
Now,
Height attained after 2nd strike is
Distance travelled by ball after 2ndand before 3rd strike is
Similarly,
Distance travelled by ball after 3rdand before 4thstrike is
And it continues.
Hence, total distance travelled by the ball is
Taking,
Here, it is a geometric progression with initial term
The sum of this geometric progression with
Hence, total distance travelled is
Calculation: Total distance travelled by ball is
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
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