Science and MathematicsAssignment ‘Bouncing Ball’ Term 1 2014

Problem AA basketball is dropped from a height of 200 cm. It bounced a solid surface to a height than can be expressed as the drop height divided by 2. What is the final bounce height?

Drop height 200 cm

Bounce height100 cm

Problem Solving200 ÷2 = 100

Problem BCalculate what the bounce height will be if the ball is dropped from half the original height in the previous question.

100 cmDrop height

50 cm Bounce height

Problem Solving100÷2 =50

Problem CA super bouncy ball was recently advertised as being able to bounce very high. After dropping it from a height of 25 meters, the ball lost only 25% of its starting height. To what height did the ball bounce?

Drop Height25 meters drop height

18.75 meters Bounce Height

Problem SolvingSimplify 25/100 to 25= 25/4. Then divide the 25/4= 6.25m. Lastly subtract the drop height 25m to 6.25 m. Final answer= 18.75m

Extension QuestionIf 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

100 cm Drop Height

7 bounces until less than 1 cm

Problem SolvingDivide the drop height 100 cm by 2 and divide the answer by 2 also. Keep doing this until you reach under 1 cm

Fine/The End