A man A is sitting in the rear end of a long compartment of a train running at constant horizontal velocity, tosses a coin to a person B, near the front end of the compartment. The trajectory of the coin is, as seen by B and a person C on the ground, will have

The train is moving with horizontal velocity in a straight line; therefore, vertical component of velocity of the coin is the same with respect to person B and person C. Hence vertical ranges will be same. For person B inside the train, the horizontal range will be equal to the distance between A and B. because train is an inertial frame. For the person C outside the train, the coin has more horizontal component of velocity and same vertical acceleration g (as the train is inertial frame of reference). Hence speed of projection (u) of the coin is more with respect to person C. As R $\propto {\mathrm{u}}^2$, range is more with respect to C.