s man travel on train and throw a ball straight up relative to the train with speed of 4.90m/s the train has a velocity of 20.0m/sdue east so what is the diplacement of the ball during its rise?

The ball rises for a time T given by

4.90 s * g = T

Solve for that T and multiply it by the train's speed (4.90 m/s) for the lateral displacement, X.

There is also a vertical displacement during the rise, Y = (1/2) g T^2

Use the Pythagorean theorem to combine X and Y.