Maths/Science Assignments “bouncing balls” AN EXTENSION ASSIGNMENT BY KIRAN GIRITHARAN

Problem A: The Question: A basket ball is dropped from a height of 200cm. It bounces on a solid surface to a height that can be expressed as the dropped height divided by 2. What is the final bounce height? Formula: Final Bounce Height = Drop Height divided by 2 Drop Height = 200cm 200cm divided by 2 = 100cm Answer = 100cm 200cm 100cm

Problem B: The Question: Calculate what the bounce height will be if the ball is dropped from half of the original height in the previous question. (Show all working). Formula: Final bounce height = Half of drop height from previous question divided by 2 Drop height = 100cm 100cm divided by 2 = 50cm Answer: 50cm 50cm100cm

Problem C: A super bouncy ball was recently advertised as being able to bounce very high. After dropping it from a height of 25m, the ball lost only 25% of its starting height. To what height did the ball bounce? Formula: Final Bounce Height = Drop Height – 25% 25% of 25m = – 25m = 18.75m or 1875cm Answer = 18.75m 25m 18.75m

Extension Task If a super bouncy ball loses 50% of its start height on every bounce, how many bounces will it take before it bounces less than a centimetre if it is dropped from 100cm? Keep on dividing it by 2 Working out: 100cm, 50cm, 25cm, 12.5cm, 6.25cm, 3.125, , Answer: 7