17. A rubber ball is dropped from a height of 10m and bounces to reach of its previous height after each rebound. Let Tn is the ball's maximum height before its nth rebound. i. Find an expression for Tr ii. How high will the ball bounce after its 5th rebound iii. How many times has the ball bounced by the time it reaches a maximum 6250 height of ·m 1296

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Chapter1: Units, Trigonometry. And Vectors
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17.
A rubber ball is dropped from a height of 10m and bounces to reach 2 of its
previous height after each rebound. Let T, is the ball's maximum height
before its nth rebound.
i.
Find an expression for T,
ii.
How high will the ball bounce after its 5th rebound
iii.
How many times has the ball bounced by the time it reaches a maximum
height of
6250
m
1296
The sum of the fifth term and twice the third of an arithmetic progression
equals the twelfth term. If the seventh term is 25 find an expression for the
nth term.
18.
Transcribed Image Text:17. A rubber ball is dropped from a height of 10m and bounces to reach 2 of its previous height after each rebound. Let T, is the ball's maximum height before its nth rebound. i. Find an expression for T, ii. How high will the ball bounce after its 5th rebound iii. How many times has the ball bounced by the time it reaches a maximum height of 6250 m 1296 The sum of the fifth term and twice the third of an arithmetic progression equals the twelfth term. If the seventh term is 25 find an expression for the nth term. 18.
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