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.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 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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