A particle moves so th at its p o sitio n vector isomega Whereis a constant which of the following is true

A particle moves so th at its p o sitio n vector isomega Whereis a con

1.	A particle moves so th at its p o sitio n vector isomega Whereis a constant which of the following is true
Answer» velcocity and acceleration both are perpendicular to `vecr` velocity and accelerationboth are parallel to `vec r` velocity is perpendicualr to `vec r` and acceleratio is directed towardsthe origin velcocity is perpendicularto `vec r` and accelerationis directed away from the origin SOLUTION :velocityand acceleration bothare parallelto `vec( r)` Here`vec(r )=COS epsilonhat( X)=- epsilont hat( x) +epsilonhat(y )` Acceleration`vec( a) = (d v)/(d t)=- epsilon^(2)cost hat( x )` `vec( a)= - epsilon ^(2) [ cosepsilon t hat( x)+SIN epsilonhat(y )` Here`vec( v) . vec( r ) =cos epsilon t hat( x ) +sinepsilon hat( y )` `=- epsiloncosepsilon TSIN epsilont +epsilont sin epsilon t` `vec( v )_\|_ vec( r )`