Question

A ball is dropped from a height of 25feet and allowed to bounce until it comes to a rest. Each time the ball bounces it rebounds to 4/5 of its previous height

Drag tiles to create an equation you could use to find the height to which the ball rebounds after it hits the floor the third time,h3

H3= ...•... ...
3,4,4/5,25

Answer 1

Answer:

$H3 = 25 * \frac{4}{5} * \frac{4}{5}* \frac{4}{5}$

Step-by-step explanation:

Given

$Initial\ Height =25$

$Rebound = \frac{4}{5}$

Required

Determine the height at the third rebound

At first rebound;

$H1 = 25 * \frac{4}{5}$

Second rebound

$H2 = 25 * \frac{4}{5}* \frac{4}{5}$

Third rebound

$H3 = 25 * \frac{4}{5} * \frac{4}{5}* \frac{4}{5}$

Hence; the equation is:

$H3 = 25 * \frac{4}{5} * \frac{4}{5}* \frac{4}{5}$

Solving further;

$H3 = 12.8\ ft$