The points A, O and B lie on a straight horizontal track as shown in Figure 1. A is 20 m from O and B is on the other side of O at a distance x m from O.

At time t = 0, a particle P starts from rest at O and moves towards B with uniform acceleration

of 3 ms

-2. At the same instant, another particle Q, which is at the point A, is moving with a

velocity of 3 ms

-1 in the direction of O with uniform acceleration of 4 ms

-2 in the same

direction.

Given that the Q collides with P at B, find the value of x.​