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Bouncing ball question Part 1 A ball is dropped from an initial height of 5 metres. As it bounces, it returns to 80% of its original height. a) Calculate the heights of the first three bounces. b) Write the general formula that models this ball's height at the n" bounce. c) Use this formula to work out the height of the 10th bounce to the nearest cm. Part 2 Find the total distance travelled by the ball until it stops bouncing.

Bouncing ball question Part 1 A ball is dropped from an initial height of 5 metres. As it bounces, it returns to 80% of its original height. a) Calculate the heights of the first three bounces. b) Write the general formula that models this ball's height at the n" bounce. c) Use this formula to work out the height of the 10th bounce to the nearest cm. Part 2 Find the total distance travelled by the ball until it stops bouncing.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 54E
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Graphs in Real-Life Contexts Session Task Graphs in Real-Life Contexts Session Task Questions Bouncing ball question Part 1 A ball is dropped from an initial height of 5 metres. As it bounces, it returns to 80% of its original height. a) Calculate the heights of the first three bounces. b) Write the general formula that models this ball's height at the nh bounce. c) Use this formula to work out the height of the 10th bounce to nearest cm. Part 2 Find the total distance travelled by the ball until it stops bouncing. What assumptions were made when doing this question? GCSE-level question A single bacterium doubles every minute. a) Complete the table of growth for the next 5 minutes: Time (t) minutes Bacteria count (M) 1 3 4 ... b) Sketch an appropriate graph modelling the growth. c) Write down an algebraic model for this growth using tfor time and N for the number of bacteria, noting down the values for tused. d) What type of function is this model? Page 1 of 1
Transcribed Image Text:Graphs in Real-Life Contexts Session Task Graphs in Real-Life Contexts Session Task Questions Bouncing ball question Part 1 A ball is dropped from an initial height of 5 metres. As it bounces, it returns to 80% of its original height. a) Calculate the heights of the first three bounces. b) Write the general formula that models this ball's height at the nh bounce. c) Use this formula to work out the height of the 10th bounce to nearest cm. Part 2 Find the total distance travelled by the ball until it stops bouncing. What assumptions were made when doing this question? GCSE-level question A single bacterium doubles every minute. a) Complete the table of growth for the next 5 minutes: Time (t) minutes Bacteria count (M) 1 3 4 ... b) Sketch an appropriate graph modelling the growth. c) Write down an algebraic model for this growth using tfor time and N for the number of bacteria, noting down the values for tused. d) What type of function is this model? Page 1 of 1
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