Alfred has just developed a new super ball and you have been asked to test its rebound capabilities. From
your experiment you have found if you drop the ball from a height of 250 centimeters the first bounce average is 180 cm.
rebound ratio = ?
Using this rebound ratio, predict the height of the bounce if you dropped the ball from a height of 50 feet. Explain
how you got your answer
To get the height if dropped from 50 feet, just use the same bounce ratio.
This assumes that the ball rebounds just the same if dropped from a height 6 times as high.
To find the rebound ratio, we need two pieces of information: the height of the initial drop (h1) and the height of the first bounce (h2). The rebound ratio is calculated by dividing the height of the first bounce by the height of the initial drop. In this case, the initial drop height (h1) is 250 cm, and the first bounce height (h2) is 180 cm.
Rebound ratio = h2 / h1
Rebound ratio = 180 cm / 250 cm
To calculate the height of the bounce when dropping the ball from a height of 50 feet, we need to convert 50 feet into centimeters. Since 1 foot is equal to 30.48 cm, we can convert 50 feet to centimeters:
50 feet * 30.48 cm/foot = 1524 cm
Now, we can use the rebound ratio to predict the height of the bounce. Multiply the converted drop height (1524 cm) by the rebound ratio:
Height of bounce = 1524 cm * (180 cm / 250 cm)
Height of bounce = 1100.16 cm
Therefore, if you drop the ball from a height of 50 feet, the predicted height of the bounce using the given rebound ratio is 1100.16 cm.