Ball thrown with air resistance

[amiras]

This question is bothering me much, please answer in detail.

For example if you throw a ball with initial speed (air resistance exists!) with an angle from horizontal.

1) Does it take more time for ball to reach its maximum height or to fall from maximum height to ground.

2) What horizontal distance is bigger? The distance ball moved before reaching maximum height or distance after reaching maximum height and then reaching the ground.

What I think:
The speed in horizontal direction is getting smaller all the time, so it is higher before reaching the maximum height then after it is going down. (so it might move bigger horizontal distance before reaching maximum height BUT)

But if the ball takes more time to land after it reaches maximum height, then the extra time might overcome the distance moved before reaching maximum height.

 

[Lsos]

Well whether the ball moves up or comes back down, it has the same distance to cover.

But, it's constantly slowing down (horizontally and vertically). This means that it's average speed it faster as it's going up...

That's the mathematics talking. If you want to visualize it, imagine what happens when you punch a baloon up in the air...does it take longer for it to go up or come down?