# What kind of integration is this?

## Homework Statement

I'm given with the following script:

Code:
for ii = 2:length(x_time)
V(ii)                   = V(ii-1) - (forces_x(ii-1)./w) * g .* dt;
D(ii)                   = 0.5 .* rho .* V(ii).^2 * s * Cd;
R(ii)                   = (not relevant);
F(ii)                   = 2 .* Cf(ii) .* R(ii);
forces_x(ii)         = (F(ii) + D(ii)) - T(ii);
distance(ii)         = distance(ii-1) + .5 .* (V(ii) + V(ii-1)) .* dt;
deceleration(ii)   = (V(ii) - V(ii-1))./dt;
end

## Homework Equations

Above I've reported only the relevant equations.

## The Attempt at a Solution

I'm asked to state what kind of integration is this.

I don't know really how to answer, I was thinking about Euler-method, but right now I am a bit confused.

rcgldr
Homework Helper
Two methods are being used, one method for velocity, and another method for distance. Perhaps that is why you're not sure?

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Can you please tell me which is the method for the velocity and which one is for the distance?

Thanks for the help!

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rcgldr
Homework Helper
Can you please tell me which is the method for the velocity and which one is for the distance?
Note the key equations being used for velocity and distance are essentially these equations:

v = v[i-1] + a Δt

d = d[i-1] + 1/2 (v + v[i-1]) Δt

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Exactly! Thanks again!

But what's the name (e.g. Runge-Kutta, Euler, ecc.) of this integration methods, if they have any?

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rcgldr
Homework Helper
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Yessir, I think I was mislead from the homework request.