Question

The position vector of a particle is given by \( r = r_0(1-at)t\) , where t is the time and a as well as \(r_0\) are constant. After what time the particle returns to the starting time

Answer 1

latex is not displaying properly on my end

Answer 2

is that r naught (r sub zero)

Answer 3

Yes, it's r naught

Answer 4

I got it.

Answer 5

so t, a and r_0 are all constant? the english is badly phrased

Answer 6

\(test \)

Answer 7

okay now it is working

Answer 8

No only \(\sf r_0 ~and~ a\) are constants.

\(\sf r = r_0t-r_0at^2\\ \Rightarrow (taking ~r=0) r_0t = r_0at^2 \\ \Rightarrow t =1/a\)

Answer 9

After what time the particle returns to the starting time

Answer 10

Yes, it shoud be t = 1/a

Answer 11

*should

Answer 12

i keep getting disconnected

Answer 13

It's ok, I solved it. Thanks for helping me though c:

Answer 14

by simplification, you are left with \(at=1 \)

Answer 15

your displacement must be set to zero (position function)