A particle's displacement is expressed by r = A( i t + j t) . The motion executed by the particle is

Step-by-step solution

Given the position vector of the particle as r = A( t , i + t , j ) . The coordinates of the particle at any time t are given by: x = A t y = A t Squaring and adding both equations, we get: x^2 + y^2 = A^2 ( ^2 t + ^2 t) x^2 + y^2 = A^2 This is the equation of a circle with radius A and center at the origin. Therefore, the particle executes motion on a circle.