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Home > CCA > Chapter 5 > Lesson 5.1.3 > Problem 5-34

5-34.

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

  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 275 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.

  3. Suppose the ball is dropped and you notice that its rebound height is 60 cm. From what height was the ball dropped? Use an appropriate precision for your answer.

    Divide the rebound height by the ratio.

Drop
Height

Rebound
Height

150 cm

124 cm

70 cm

59 cm

120 cm

100 cm

100 cm

83 cm

110 cm

92 cm

40 cm

33 cm

  1. 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.

  1. 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.