The position vertor of a particle varies with time as `overline(r)=overline(r_(0)t)(1-alphat)` where `overline(r)_(0)` is a contant vector and `alpha` is a positive constant. The distance travelled by particle in a time interval in which particle returns to its initial position is `(Kr_(0))/(16alpha)`. Determine the value of K?

The radius vector of a particle varies with time t as vecr=vecbt(1-alphat) is a constant vector and a is a positive factor.Find the time interval Deltat taken by the particle to return to the initial point.

The radius vector of a particle varies with time t as vecr=vecbt(1-alphat) is a constant vector and a is a positive factor.Find the distance s covered before the particle comes to rest

A radius vector of a particle varies with time t as r=at(1-alphat) , where a is a constant vector and alpha is a positive factor. Find: (a) the velocity v and the acceleration w of the particles as functions of time, (b) the time interval Deltat taken by the particle to return to the initial points, and the distance s covered during that time.

The position of a particle at time t is given by the relation x(t)=(v_(0)/alpha)(1-e^(-alphat)) where v_(0) is a constant and alpha gt 0 . Find the dimensions of v_(0) and alpha

The position of a particle at time t is given by the relation x(t)=(v_(0)/alpha)(1-e^(-alphat)) where v_(0) is a constant and alpha gt 0 . Find the dimensions of v_(0) and alpha