Acceleration Skills

Acceleration is more complicated. You have to calculate how long you’d normally take to accelerate to top speed, as well as how much distance you cover in that time, then compare that to the numbers when accelerating. For these examples we’ll assume 1200 Speed and 1000 Power, which is fairly realistic.

With 1000 Power, the acceleration is 0.424m/s/s, ignoring Phase Multipliers.. Time to get to top speed is (Top Speed - Starting Speed) / Acceleration. Distance is 0.5 * Time * (Top Speed + Starting Speed) Speed is Starting Speed + Acceleration * Time

地固め / Groundwork - 0.2 over 3s We’ll use 17m/s as the starting speed and 20.3m/s as the top speed, which is about what a Front Runner has in Mile.

Without Groundwork, the time taken is (20.3 - 17) / 0.424 = 7.78s The distance covered is 0.5 * 7.78 * (20.3 + 17) = 145.1m

With Groundwork, the time taken is (20.3 - 17) / 0.624 = 5.29s The distance covered while accelerating is 0.5 * 5.29 * (20.3 + 17) = 98.66m The time spent at top speed is 7.78 - 5.29 = 2.49, which when multiplied by 20.3 = 50.55m 98.66 + 50.55 = 149.21. Subtract the other number, 145.1, and we get 4.11m gained.

アングリング×スキーミング / Angling and Scheming, Seiun unique - 0.4 over 4s This is similar to the Groundwork calculation, but the base speed will be 20m/s, and the top speed will be 24.2m/s, normal numbers for a Front Runner in Mile.

Base Time = (24.2 - 20) / 0.424 = 9.9s Distance = 0.5 * 9.9 * (24.2 + 20) = 218.8m

Angling Time = (24.2 - 20) / 0.842 = 4.99s Distance = 0.5 * 4.99 * (24.2 + 20) = 110.28m Top Speed Time = 9.9 - 4.99 = 4.91, times 24.2 = 118.82m Total = 229.1m, difference = 10.3m

先手必勝 / Taking the Lead - 0.4 over 1.2s This skill triggers 5 seconds into the acceleration, so we need three steps.

Base Time = (20.3 - 17) / 0.424 = 7.78s Distance = 0.5 * 7.78 * (20.3 + 17) = 145.1m

Speed after 5s = 17 + 0.424 * 5 = 19.12m/s Distance after 5s = 0.5 * 5 * (19.12 + 17) = 90.3m Time With Skill = (20.3 - 19.12) / 0.824 = 1.43s Distance With Skill = 0.5 * 1.43 * (20.3 + 19.12) = 28.19m Top Speed Time = 7.78 - (5 + 1.43) = 1.35s, times 20.3 = 27.4m Total = 145.89m, difference = 0.79m

迫る影 / Encroaching Shadow - 0.4 over 0.9s This skill doesn’t last long enough, so we have to do three steps again. Taishin gets this skill, and she’s used in Medium, so we’ll assume 2000m, making the duration 1.8s. As an End Closer, we’ll use 19.9m/s as the base speed, and 24.4m/s as the top speed.

Base Time = (24.4 - 19.9) / 0.424 = 10.61s Distance = 0.5 * 10.61 * (24.4 + 19.9) = 235m

Speed after 1.8s with skill = 19.9 + 0.824 * 1.8 = 21.38m/s Distance after 1.8s = 0.5 * 1.8 * (21.38 + 19.9) = 37.15m Time after Skill = (24.4 - 21.38) / 0.824 = 7.12s Distance after Skill = 0.5 * 7.12 * (24.4 + 21.38) = 162.98m Top Speed Time = 10.61 - (7.12 + 1.8) = 1.69s, times 24.4 = 41.24m Total = 241.37m, difference = 6.37m