  ### Home > AC > Chapter 14 > Lesson 14.2.1.3 > Problem2-36

2-36.

DeShawna and her team gathered data for their ball and recorded it in the table shown at right.

1. What is the rebound ratio for their ball?

Divide a rebound height by a drop height.

The ratio is about $0.83$.

2. Predict how high DeShawna's ball will rebound if it is dropped from $3$ meters.

Multiply the drop height by the ratio.

3. Suppose the ball is dropped and you notice that its rebound height is $60$ cm. From what height was the ball dropped?

Divide the drop height by the ratio.

4. Suppose the ball is dropped from a window $200$ meters up the Empire State Building. What would you predict the rebound height to be after the first bounce?

See part (b).

The rebound height is about $166$ m.

5. How high would the ball rebound after the second bounce? After the third bounce?

Continue multiplying the drop height by the ratio to find the next rebound heights.

Drop Height

Rebound Height

$150$ cm

$124$ cm

$70$ cm

$58.5$ cm

$120$ cm

$99.5$ cm

$100$ cm

$82.6$ cm

$110$ cm

$92$ cm

$40$ cm

$33.4$ cm