Question

please help, picture included

Answer 1

Set the two functions equal to each other and find which answer choices make that true

Answer 2

the answer choices between 0 and pi?

Answer 3

Also technically answer E is a trap because the function is not given for that value of t

Answer 4

but the question asks how many values work, not which one is correct

Answer 5

But you don't know how the particles act at values outside of the range. The function may change, but you don't know how it does

Answer 6

so i plug in something between 0 and pi for t

Answer 7

Yes, so the other 4 choices

Answer 8

Oh but I misread the problem. Take the derivative first to get velocity

Answer 9

do i take the derivatives of both functions?

Answer 10

Yes

Answer 11

for x1 i got 2cos2t
for x2 i got (e^((t-2)/3))/3

Answer 12

Yeah that looks right

Answer 13

now that thoes are teh velocities, do i set them to each other and trry to solve for t?

Answer 14

Yep you got it

Answer 15

im having a bit difficulty doing that

Answer 16

I don't have a calculator on me unfortunately

Answer 17

no problem don't worry about it, thanks anyway

Answer 18

Try wolfram maybe

Answer 19

yes that was what i was about to do :)

Answer 20

I plugged both equations into the calculator and looked for their points of intersection, there were two in the range 0(Less then or equal to) t <
pi

Answer 21

That sounds right since e usually intersects sinusoidal functions twice

Answer 22

i didn't know there was a clue like that lol

Answer 23

I mean it could be more but you can picture it

Answer 24

i understand

Answer 25

Oh no that's just my experience with math and physics lol. Don't go off of that

Answer 26

oh! lol i see

Answer 27

But yeah good job =)