What is initial speed: Definition and 135 Discussions
Initial D (Japanese: 頭文字イニシャル D, Hepburn: Inisharu Dī) is a Japanese street racing manga series written and illustrated by Shuichi Shigeno. It was serialized in Kodansha's seinen manga magazine Weekly Young Magazine from 1995 to 2013, with the chapters collected into 48 tankōbon volumes. The story focuses on the world of illegal Japanese street racing, where all the action is concentrated in the mountain passes and rarely in cities or urban areas, and with the drifting racing style emphasized in particular. Professional race car driver and pioneer of drifting Keiichi Tsuchiya helped with editorial supervision. The story is centered on the prefecture of Gunma, more specifically on several mountains in the Kantō region and in their surrounding cities and towns. Although some of the names of the locations the characters race in have been fictionalized, all of the locations in the series are based on actual locations in Japan.
Initial D has been adapted into several anime television and original video animations series by OB Studio Comet, Studio Gallop, Pastel, A.C.G.T and SynergySP. A live action film by Avex and Media Asia was released in 2005. Both the manga and anime series were initially licensed for English-language distribution in North America by Tokyopop (2002–2009). However, the anime license has since been picked up by Funimation (now Crunchyroll), while the manga was relicensed by Kodansha USA in 2019.
As of April 2021, Initial D had over 55 million copies in circulation, making it one of the best-selling manga series in history.
(a) Find the initial speed.
Solution
The relevant equations are (4) and (5) derived here and reproduced below as (1) and (2) respectively:
$$\begin{align}
& \frac{\Delta x}{\tan\!\theta-\tan\!\varphi}=\frac{2v_{0x}^2}{g} \\
& \tan\!\varphi=\frac{1}{2}(\tan\!\theta+\tan\!\omega)...
U1 = -GMm/r
K1 = (1/2)mvi^2
U2 = as r approaches infinity, U2 approaches zero
K2 = (1/2)mvf^2
(1/2)mvi^2 - GMm/r = (1/2)mvf^2 + 0
vi = √(vf^2 + (2GMm)/r) = √(250,000 + 2(6.7 E-11)(6 E23)/3400) = 153776.815
But that is not the correct answer, can anybody see my mistake/misunderstanding?
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