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5-34.

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

Drop Height

Rebound
Height

cm

cm

cm

cm

cm

cm

cm

cm

cm

cm

cm

cm

  1. What is the rebound ratio for their ball?

  • Divide a rebound height by a drop height.

    The ratio is about .

  1. Predict how high DeShawna’s ball will rebound if it is dropped from cm. Look at the precision of DeShawna’s measurements in the table. Round your calculation to a reasonable number of decimal places.

    Multiply the drop height by the ratio.

  2. Suppose the ball is dropped and you notice that its rebound height is cm. From what height was the ball dropped? Use an appropriate precision for your answer.

    Divide the rebound height by the ratio.

  1. Suppose the ball is dropped from a window 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 m.

  2. How high would the ball in part (d) rebound after the second bounce? After the third bounce?

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