A person jumps from a moving train with an initial velocity of v0 = (v0cosa, v0sena) relative to the train. The train has a constant acceleration of av = (av, 0) - avi relative to the ground. Determine the distance the person jumps on the ground relative to the train.

The person is subject only to the gravitational acceleration after jumping from the train.
The person's trajectory can be determined by integrating the acceleration vector.
The duration of the jump can be determined by imposing the condition that the person's height is zero at the end of the jump.
The distance the person jumps on the ground is independent of the position and velocity of the train at the time of the jump.