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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

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 45 of its previous height Dra class=

Respuesta :

MrRoyal

Answer:

[tex]H3 = 25 * \frac{4}{5} * \frac{4}{5}* \frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Height =25[/tex]

[tex]Rebound = \frac{4}{5}[/tex]

Required

Determine the height at the third rebound

At first rebound;

[tex]H1 = 25 * \frac{4}{5}[/tex]

Second rebound

[tex]H2 = 25 * \frac{4}{5}* \frac{4}{5}[/tex]

Third rebound

[tex]H3 = 25 * \frac{4}{5} * \frac{4}{5}* \frac{4}{5}[/tex]

Hence; the equation is:

[tex]H3 = 25 * \frac{4}{5} * \frac{4}{5}* \frac{4}{5}[/tex]

Solving further;

[tex]H3 = 12.8\ ft[/tex]

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