Question

The position vector of a particle is given by r=r0(1-at)t,where t is the time and a as well as r0 are constant. after what time the particle returns to the starting point

Answer 1

"The equation of the formulae is

r = ro (1 – at) t

r = rot - roat2

On differentiating it, we get

r = ro – 2at

This equation is similar to v = u + at

Where u = roand a = 2a

Substituting it in v2 – u2 = 2as

We get

s = ro / 2a

"

Answer 2

R=R°(1-at)

R=0

1-at=0

t=1/a