A car P is moving with a uniform speed `5sqrt3 m//s` towards a carriage of mass 9 kg at rest kept on the rails at a point B as shown in figure. The height AC is 120 m. Cannon balls of 1 kg are fired from the car with an initial velocity `100m//s` at an angle `30^@` with the horizontal. The first cannon hall hits the stationary carriage after a time`t_0` and sticks to it. Determine `t_0`.

At `t_0`, the second cannon ball is fired. Assume that the resistive force between the rails and the carriage is constant and ignore the vertical motion of the carriage throughout. If the second ball also hits and sticks to the carriage, what will be the horizontal velocity of the carriage just after the second impact?

Answer

`12s;100sqrt3//11 msl`