How do I calculate velocity when going in an angle?

Hi there!
Today I was talking with my friend about a skateboard game were making and we went on a discussion about how much speed we would get when going on an angle surface, take for example:
The normal max velocity is 30 studs per second
That’s in a 0º/flat surface
so for example how would I know what would be the max velocity at a 45º surface? (going down) and how much would it be if I were to be going up?

I have tried researching which kind of math formula, I’d need to use but didn’t found anything related :frowning:

I would be very glad if someone could help me on this :smile:
Thanks for reading.

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So there is a bit of maths here with angles. There are a couple ways you can work out the speed of a moving object.

  1. Use the Pythagorean Theorem and then the Distance-Speed-Time formula

    Example:
    Height = 5 studs
    Width = 15 studs
    Time taken = 2 seconds

    5^2 + 15^2 = 250
    √250 = 5√10 (or ~15.81 studs)
    s = 15.8/2
    s = 7.91 studs per second (2 d.p.)

  2. Use SOHCAHTOA then the Distace-Speed-Time formula

    Exapmle:


    b = 15 studs
    Time taken = 2 seconds

    Cos(45) = 15/c → c = 15/Cos(45)
    c = 21.21 studs (2 d.p.)

    s = d/t → s = 21.21/2
    s = 10.61 studs per second (2 d.p.)

I hope this helps and if you need any further help, feel free to reply to me.

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That post is about going down only.

It’s different than going up because going down is going with gravity. Going up, you are working against gravity so more work is needed, hence it would be slower.

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Oh God sorry for taking so long to respond,I had quite a busy week,thank you so much for your help,just a question though, the “s” result is how much I get as extra right?
(since 30 max sps and s= 10.61 then the new max is 40.61 sps?)
That formula is quite useful!

No problem! The speed is what you get as extra I believe.

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