Question

a ball is thrown upwards and caught when it comes back down. neglecting air resistance,it's speed when caught is?

Answer 1

It's speed when you catch it will equal the speed it was thrown upwards at.

Answer 2

I don't know if you're in calculus, but if you are think of the position as being on a parabola. Isn't it that it looks symmetrical because the slope on the left and right side are equal but opposite sign? Similar to the object thrown in the air, the speeds are the same at the same heights but their directions are opposite, one is up and the other is down.