good ways to author a jump, using velocity

[hushed marlin]

so i got a player, when you press jump, it sets the y_speed to -0.50 the number is arbitrary,
then the next few frames the gravity variable, lowers that amount gradually until you fall down again.

It's simple, and it works. But if you wanted super fine control over a jump, like with a jump curve, how would you do that together with the rest which is velocity based?

[karmic canopy]

hard

are you sure you dont just want to find the jump height

[hushed marlin]

yeah sure, i was thinking of how you can visualize by a curve at the end, not neccesarily using a real curve

like in hollow night, you jump up, stay in the air still for some frames, and then fall down

like this kinda thing

this is just a brainstorm tool i guess. But how would you even go about creating this

[karmic canopy]

Ok if you want only a parabolic arc its easier

[karmic canopy]

Im too tired now but i can help you figure out the math tomorrow

Its fairly straightforward, its basically a "find ymax of a thrown ball" problem

But thats not the entire story because thats if you throw it from an elevated position h

You can however use this formula to figure out the whole thing

https://www.omnicalculator.com/physics/maximum-height-projectile-motion#:~:text=Write down the initial height,g ~ 9.8 m%2Fs².

Theres an explanation here if you want to take a shot at figuring it out

[karmic canopy]

https://math.stackexchange.com/questions/222578/how-to-calculate-initial-jump-velocity-for-reaching-specific-height

i have unfortunately been caught up in something super important today so i hope this is enough help