A gnat takes off from one end of a pencil and flies around erratically for 25.1 seconds before landing on the other end of the same pencil. If the gnat flew a total distance of 3.15 meters, and the pencil is 4.63 cm long, find the gnat\'s average speed, as well as the magnitude of the gnat\'s average velocity vector.

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- anonymous

- schrodinger

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- NotTim

The proper steps in doing any physics question are: Write down variables, draw your FBDs, and break it down into its x and y components.

- anonymous

Alright. So what would be what?

- anonymous

Because I've been doing it by division.

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- NotTim

http://www.smarterthanthat.com/physics/physics-dont-panic-10-steps-to-solving-most-physics-problems/ starting at 4 or 5.

- anonymous

So do I need to subtract the two distances then divide by time?

- NotTim

No.

- anonymous

Then I'm confused.

- NotTim

What's the difference between speed and velocity.

- anonymous

velocity is a vector I think

- NotTim

And what's the properties of a vector?

- anonymous

derived. I know velocity is m/s

- anonymous

So should I just ignore the 4.63 cm part and just stick with the 3.15 meters?

- NotTim

Here's a big hint: 3.15 m is for the speed, and the velocity is directly related to 4.63 cm.

- anonymous

Okay so it would be 3.15m/ 25.1s then?

- NotTim

Which one would that be solving for?

- anonymous

speed?

- NotTim

Yes.

- anonymous

Because for the velocity you would take 3.15 *.0463/25.1

- anonymous

Okay so it would be 3.15m/25.1s =.125 m/s?

- NotTim

And what's that solving for?

- anonymous

that's solving for speed. The .125 m/s

- NotTim

Correct.

- NotTim

How about velocity?

- anonymous

It would .00184 m/s

- anonymous

Thanks for the help!

- NotTim

(don't forget that velocity requires direction too)

- anonymous

Right. I think I got it. Thanks for your help!

- NotTim

Good stuff. seeya

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