a.
Tofind the swing on which the length of the swing is shorter than 50 cm for the first time.
The swing of the pendulum will be less than 50 com for the first time on 70th swing.
Given information:
The first swing of the pendulum is of length 100 cm and the return swing is 99 cm.
Calculation:
The swing of the pendulum forms an infinite geometric series with
The general term can be written as:
Now, to find the swing on which the length of the swing is less than 50 cm for the first time, solve the inequality,
This shows that the swing of the pendulum will be less than 50 com for the first time on 70th swing.
b.
To find the distance travelled by the pendulum when it comes to rest.
Given information:
The first swing of the pendulum is of length 100 cm and the return swing is 99 cm.
Calculation:
The swing of the pendulum forms an infinite geometric series with
Substitute the values
Therefore, the total distance travelled by the pendulum is
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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