A golf ball is struck, and after 0.978 s, as it is still rising, it just clears the top of a wall 13 m away, at a height of 3.46 m. Neglecting air friction, find the magnitude, in m/s, of the ball’s initial velocity.  Note: you may need to find the direction of the ball's initial velocity first, but the question does not require you to submit the direction.)