An object falling in vacuum with a startup speed V under acceleration g at altitude D. How long will it take to hit the ground?
I can solve it when startup speed is zero but in this case it's not. Where's the math geeks when you need one
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8,443 crowxe4.3 years ago
@AnotherFireFox
You nailed it, this works.
I needed this time to multiply by lateral speed to predict the current estimated touchdown point for the rocket/projectile and compare that with the actual lateral distance to feed the fins controls. I'll use the vertical component of acceleration given by vizzy, not the planet's gravity as that acceleration is the net acceleration that takes out deceleration produced by air drag. My current guided landing uses linear (AGL ÷ vertical v × lateral speed) and kinda work well but I wanna do it more properly. Thank you
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Vt + (gt^2)/2 = D
solve for t
t = (-V ± √ (V^2+2gD))/g