Question

Looking for full help on this practice question, thank you!

Answer 1

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

This question is an application of Geometric Progression, where we have the following:

`\begin{gathered} First\text{ term , a = 3} \\ Common\text{ ratio, r = }(2)/(3) \end{gathered}`
`\begin{gathered} \text{Recall that:} \\ Sum\text{ to infinity, S}_(\infty)=\text{ }\frac{a\text{ }}{1-\text{ r}} \end{gathered}`
`Sum\text{ to infinity, S}_(\infty)=(3)/(1-(2)/(3))=(3)/((1)/(3))\text{ = 3 }*\text{ 3 = 9 m \lparen OPTION C \rparen}`

CONCLUSION:

The total vertical distance the ball travels before coming to a rest = 9m

( OPTION C)