Question

A weight is hanging from the end of a string. Hawa pulls back on the weight, and it swings freely back and forth. Each swing travels slightly less distance than the previous swing. If the first swing travels 150 inches and the return swing travels 144 inches, which equation represents the total distance the weight travels before it comes to rest?

a) s = 144/1-0.04
b) s = 144/1-0.96
c) s = 150/1-0.96
d) s = 150/1-0.04

Answer 1

Answer:

the correct answer is b.

Step-by-step explanation:

because the swing is .

Answer 2

d = $\frac{144}{150} = 0.96$ [ The value of each move can be approximated as a geometric sequence]

Common ratio = d = 0.96

Summation of geometric sequence = $\frac{a.(1 - q^{n} )}{1-q}$

total distance the weight travels before it comes to rest = $\frac{144}{1-0.96}$

For further reference refer to:

https://brainly.in/question/176614

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