Question

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

Answer 1

SOLUTION:

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 = }\frac{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}=\frac{3}{1-\frac{2}{3}}=\frac{3}{\frac{1}{3}}\text{ = 3 }\times\text{ 3 = 9 m \lparen OPTION C \rparen}$

CONCLUSION:

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

( OPTION C)