At time t = 0, a particle is projected from point O on the ground with velocity $10\sqrt{2}m/s$  at an angle $45°$  with horizontal. It strikes a long fixed smooth inclined plane of inclination $37°$  at point C which is horizontally 10m away from point O as shown in the figure. Assuming the collision to be perfectly inelastic, the time at which particle reaches the maximum height from the ground is $(g=10m/s^2)$