How high will a ball taking a million seconds to fall travel?

An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.

A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?

How fast would you have to throw a ball upwards so that it would never land?

Can you work out which of the equations models a bouncing bomb? Will you be able to hit the target?

How do these modelling assumption affect the solutions?

At what positions and speeds can the bomb be dropped to destroy the dam?

At what angle should you release the shot to break Olympic records?

10 intriguing starters related to the mechanics of sport.