On the moon, the distance d (in feet) that an object falls intime t (in seconds) is modeled by the function d(t) = 8/3 t
Suppose an astronaut on the moon drops a tool. How long
does it take the tool to fall 4 feet?

Answers

Answer 1
Answer:

Answer:

3/2

Step-by-step explanation:

If d = feet and the question is how long it takes if a tool falls down 4 feet then plug that in the equation, which is 4 = 8/3 t

Then bring the 3 to the other side by multiplying which is 8x = 12

Lastly it is 12/8, simplified to 3/2

Answer 2
Answer:

Final answer:

The astronaut's tool would take 1.5 seconds to fall 4 feet on the moon when using the given function d(t) = 8/3 t.

Explanation:

To find the time it takes the tool to fall 4 feet on the moon, we would need to set the distance d equal to 4 in the given mathematical expression and solve for t. So we would use the given function d(t) = 8/3 t.

  1. Set d(t) equal to 4: 4 = 8/3 t
  2. Solve for t by multiplying both sides with the reciprocal of 8/3 which is 3/8: t = 4 * 3/8
  3. Simplify to find: t = 1.5 seconds

So the astronaut's tool would take 1.5 seconds to fall 4 feet on the moon.

Learn more about Falling object on the moon here:

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Answers

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Answers

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Answers

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Answers

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Answers

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Answers

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