This is because astronauts can't sprinkle salt and pepper on their food in space. The salt and pepper would simply float away. There is a danger they could clog air vents, contaminate equipment or get stuck in an astronaut's eyes, mouth or nose. Astronauts eat three meals a day: breakfast, lunch and dinner.

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At an ocean depth of 10 meters, a buoy bobs up and then down 6 meters from the ocean's depth. Ten seconds pass from the time the

Ivanshal [37]

The sine function for the given scenario is y = 6sin ( (π / 10) x ) - 10.

<u>Step-by-step explanation:</u>

The standard formula for sine function is Asin(Bx)+C.

A buoy bobs up and down 6 meters. That is the buoy shifts vertically and horizontally for 6 meters which is amplitude.

∴Amplitude A= 6.

Period is the distance in the x-axis that makes one full oscillation.

We know that the time taken buoy to move from its highest point to lowest point (half oscillation) is 10 seconds.

∴The period for full oscillation is 20 seconds.

Also, Period =2π divided by B.

⇒ 20 (B) = 2π.

B=2π /20.

= π/ 10.

Since the buoy is in the depth of the ocean 10 meters C = -10.

Applying all the values in the formula,

⇒y = 6sin ( (π/ 10) x ) - 10.

The first point is the mid line,

The first point is x=0,

⇒y=6sin(0)-10.

y= -10.

∴ The line starts at the point y = -10.

The second point is either maximum or minimum value.

That is (5,-4) and (15, -16.)

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2 years ago