Question: I need help on questions 3 AND 4 please 3. A pendulum is released to swing freely. On the first swing, the pendulum travels a

 I need help on questions 3 AND 4 please 3. A

I need help on questions 3 AND 4 please

pendulum is released to swing freely. On the first swing, the pendulum

3. A pendulum is released to swing freely. On the first swing, the pendulum travels a distance of 18 inches. On each successive swing, the pendulum travels 90% of the distance of the previous swing 1 swing. What is the total distance the pendulum swings? After how 18 swing 2 18 0.9) many swings has the pendulum traveled 80% of its total distance? swing 3 1810.9 4. Zeno's Paradox: Can the Greek hero Achilles, running at 20 feet per second, ever catch a tortoise, starting 20 feet away and running at 10 feet per second? The Greek mathematician Zeno said no. He reasoned as follows: When Achilles runs 20 feet the tortoise will be in a new spot, 10 feet away. Then, when Achilles gets to that spot, the tortoise will be 5 feet away. . Achilles will keep cutting the distance in half but will never catch the tortoise. In actuality, looking at the race as Zeno did, you can see that both the distances and the times required to achieve them, form infinite geometric series. Using the table, show that both series have finite sums. What do these sums represent? Distance (ft) 20 10 5 2.5 1.25 0.65 Time (sec) 1 0.5 0.25 0.125 0.0625 0.03125

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