A ball is thrown vertically up from the ground, rises to a height of 10 metres and then falls and bounces. At each bounce it rises vertically to four-fifths of the height from which it fell. Write down the original height to which the ball was thrown and then, without multiplying them out, expressions for the height to which the ball will rise after one bounce, two bounces and eleven bounces. Use an appropriate formula to calculate, to the nearest centimetre, the total distance travelled by the ball from the first throw to the twelfth impact with the ground
A ball is thrown vertically up from the ground, rises to a height of 10 metres and then falls and bounces. At each bounce it rises vertically to four-fifths of the height from which it fell. Write down the original height to which the ball was thrown and then, without multiplying them out, expressions for the height to which the ball will rise after one bounce, two bounces and eleven bounces. Use an appropriate formula to calculate, to the nearest centimetre, the total distance travelled by the ball from the first throw to the twelfth impact with the ground
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A ball is thrown vertically up from the ground, rises to a height of
10 metres and then falls and bounces. At each bounce it rises
vertically to four-fifths of the height from which it fell. Write down
the original height to which the ball was thrown and then, without
multiplying them out, expressions for the height to which the ball
will rise after one bounce, two bounces and eleven bounces. Use
an appropriate formula to calculate, to the nearest centimetre, the
total distance travelled by the ball from the first throw to the twelfth
impact with the ground
2.
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