Problema Solution
Drop height Rebound height
150cm 124cm
70cm 58.5cm
120cm 99.5cm
100cm 82.6cm
110cm 92cm
40cm 33.4cm
Veronica's team did the boucing ball experiment and gathered this data
a) Find the rebound ratio (round to 2 decimal place)
b) Calculate the bounceback height if the ball were dropped from 300cm
c) If the ball is dropped and has a bounceback height of 60cm, what was the intial drop height?
d) Calculate the bounceback height, and the height of the 2nd and 3rd bounces (in meters) if the ball were dropped from 200 meters.
Answer provided by our tutors
rounded to the nearest hundredth, we obtain these ratios:
150/124 = 1.21
70/58.5 = 1.20
120/99.5 = 1.21
100/82.6 = 1.21
110/92. = 1.20
40 / 33.4 = 1.20
the average rebound ratio is then:
(1.21 + 1.20 + 1.21 + 1.21 + 1.20 + 1.20)/6. = 1.205
the rebound ratio is approximately 1.21
dropping the ball from a height of 300 cm will result in a rebound height of approximately:
300/1.21 = 249 cm
an initial bounceback height of 60 cm would indicate an initial drop height of approximately:
60 * 1.21 = 72.6 cm
dropped from a height of 200 meters, we would have the following rebound heights (approximately):
1st: 200 / 1.21 = 165 m
2nd: (200/1.21)/1.21 = 137 m
3rd: ((200/1.21)/1.21)/1.21 = 113 m