A particle starts to move in a circle of radius R with tangential acceleration a. what is the power being delivered to the particle when angle between velocity and acceleration vector is 45⁰

let initially particle is at rest

(velocity at any time) v=at............1

 let A be the total accleration at any time then A = sqrt((v^2/r)^2 +a^2 ).........2

   force on the particle is mA

 power delivered is fvcos@=fv/sqrt2

                                     =mA/sqrt2...........3

m . a^3/2 . R^1/2

(a^2+g^2)^3/2 . R^1/2 . m/root of 2