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EleoNora [17]
2 years ago
14

A ball is dropped from a height of 14 ft. The elasticity of the ball is such that it always bounces up one-third the distance it

has fallen. (a) Find the total distance the ball has traveled at the instant it hits the ground the fourth time. (Enter an exact number.)
Mathematics
1 answer:
Korvikt [17]2 years ago
5 0

Answer:

Hello,

742/27 (ft)

Step-by-step explanation:

h_1=14\\\\h_2=\dfrac{14}{3} \\\\h_3=\dfrac{14}{9} \\\\h_4=\dfrac{14}{27} \\\\

d=14+2*\dfrac{14}{3} +2*\dfrac{14}{9} +2*\dfrac{14}{27} \\=14*(1+\dfrac{1}{3}+\dfrac{2}{9} +\dfrac{2}{27} )\\=14*\dfrac{53}{27} \\=\dfrac{742}{27} \\

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