A object A is at a point $x=3\;m$ and $y= 1.25 \;m$ from a fixed point. At time $t=0$ the object starts moving with an acceleration of $1.5 \;m/s^2$ in the +ve x direction . At the same instant a stone is projected from origin with a velocity $\overrightarrow{u}$ and hits the object during its downward motions at an angle of $45^{\circ}$ to the horizontal. Find the time after which the store hots the object $[g= 10\;m/s^2]$