try kinematics!!

Consider a source at infinity radiating a light of intensity I. A spherical ball is given a velocity V towards the direction of source. Find the distance travelled by the ball before coming momentarily to rest.
$\textbf {Given:}$ $\text{mass of the ball }m=\pi \text{ kg}$ $\text{radius }R= 1\text{ m}$ $\text{initial velocity } V=2\text{m/s}$ $\text{intensity}I=1W/m^{2}$ $\text{speed of light}c=3\times 10^{8}\text{ m/s}$

$\textbf {Assumptions:}$ $\text{1. The sphere is perfectly reflecting}.$ $\text{2. Consider no rotational motion, only translational motion.}$ $\text{3.All surfaces are smooth.}$

$\text{if answer can be given as } p\times 10^{8}\text{ m}$ Then find the integer p ?