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I'm new to this forum, and I signed up because I have been struggling with this problem for a couple of days now.

I am making a game where the player has to land on specific platforms.

The player runs at 4 meters / second.

When the player jumps there are 4 different platforms to land on.

All platforms are 50 centimeters apart, each.

1 jump covers a distance of 2 meters. ( Hence the 4 platforms to land on each jump. )

**2. Homework Equations**

I currently have the following equation to solve the problem:

abs(sin(0.5 * PI * x))

I enter the distance at x. And it returns the correct height.

In theory, this works, but in game I have to keep applying gravity etc.

How could I possible make the player jump this curve when applying gravity?

I have 0 knowledge of physics or whatsoever.

Never had any good math lessons at school so I suck at this topic.

I hope I was clear enough.