Answer to Question #234384 in Mechanics | Relativity for martin

Question

the world speed record on water was set on october 8, 1978 by ken warby. if ken drove his motorboat a distance of 1000m in 7.045 s, how fast was his boat moving? in m/s and in miles/hour and kph.

Answer 1

$S = 1000m$

$t = 7.045s$

$1miles = 1609.34m$

$1km = 1000m$

$1h = 3600s$

$S = \frac{1000}{1609.34}\approx0.62miles$

$t = \frac{7.045}{3600}\approx0.00196h$

$v = \frac{S}{t}$

$v = \frac{1000}{7.045}=141.94\frac{m}{s}$

$v = \frac{0.62}{0.00196}=316.32\frac{miles}{h}$

$v = \frac{1}{0.00196}=510.2\frac{km}{h}$

$\text{Answer: }141.94\frac{m}{s};316.32\frac{miles}{h};510.2\frac{km}{h}$