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

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Transcript of Maths/Science Assignments “bouncing balls” AN EXTENSION ASSIGNMENT BY KIRAN GIRITHARAN.
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
50cm 100cm
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 = 6.25
6.25 – 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, 1.5625, 0.78125
Answer: 7