If you toss a tennis ball up in the air, neglecting air resistance, but it didn''t go straight up. It went off to the side, so when it came down, it''s path was an upside down U. Two questions: ___ / \ / \ / \0<- ball goes up, then down A. Is the ball''s path vertically symetric at the highest point? B. Suppose the ball had air resistance..it''s path would be similar(as in geometry), but not congruent. Thanks

Yeah it's symmetric. It's actually traveling in a ellipse around the Earth's center, but since it's so far away from center you can also think of it a parabola.