given position function, find ave vel, vel fcn; graph vel fcn; find times when...

[DonkeyyourKong]

A particle is moving along a straight line such that its final position s (t) at time t second is given by:

. . . . .\(\displaystyle s(t)\, =\, \dfrac{t^2\, +\, \cos(t)}{t^4\, +\, 1}\, \mbox{metres}\)

(a) Determine the average velocity of the particle over the first two seconds.

(b) Determine the velocity function v(t) of the particle. (No need to simplify.)

(c) Draw the graph of v(t) on 0 < t < 3, showing all axes intercepts. (You should use technology here.)

(d) Use your graph in (c) to determine the times when the particle is travelling in a positive direction.

---

Please supply answers

 

[Deleted member 4993]

Please supply answers

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33

 

[stapel]

A particle is moving along a straight line such that its final position s (t) at time t second is given by:

. . . . .\(\displaystyle s(t)\, =\, \dfrac{t^2\, +\, \cos(t)}{t^4\, +\, 1}\, \mbox{metres}\)

(a) Determine the average velocity of the particle over the first two seconds.

(b) Determine the velocity function v(t) of the particle. (No need to simplify.)

(c) Draw the graph of v(t) on 0 < t < 3, showing all axes intercepts. (You should use technology here.)

(d) Use your graph in (c) to determine the times when the particle is travelling in a positive direction.

---

Please supply answers

I'm sorry, but whoever told you that FreeMathHelp is one of those "cheetz" sites which will do your homework for you was very much mistaken. For further information, kindly please re-read the "Read Before Posting" announcement. Thank you!