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back to boardI don't understand the first example Pls, explain me why i'm wrong Let T is answer. t in [0,T]: x(t)=vx*t, y(t)=vy*t-g*t^2/2 t > T: x(t) = x(T) + (vx+ux)(t-T) = (vx+ux)t - ux*T y(t) = y(T) + (vy - g*T + uy)*(t-T)-g * (t-T)^2/2 = (-g/2)*t^2 + (vy+uy)*t-y*T t1, t2: x(t1)=L, x(t2)=L+l t1 = (L+ux*T)/(vx+ux) t2 = (L+l+ux*T)/(vx+ux) tv: y'(tv)=0, tv = (vy+uy)/g Then i use conditions: 0<T<L/vx, T<2*vy/g h<y(t1)<h+d, h<y(t2)<h+d if tv in (T-eps, T+eps) then y(tv)<h+d My algo: find all candidates from conditions and then check that candidate is good My code: [code deleted] Edited by moderator 27.07.2023 17:23 Re: I don't understand the first example "Nod can throw a stone with an ABSOLUTE initial speed (ux, uy)." |
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