The 1992 world speed record for a bicycle (human-powered vehicle) was set by Chris Huber. His time through the measured 200 m stretch was a sizzling 6.509 s, at which he commented,"Cogito ergo zoom!" (I think, therefore I go fast!). a.) What was Chris Huber’s speed in meters per second(m/s)? b) In 2001, Sam Whittingham beat Huber’s record by 19.0 km/h. What was Whittingham’s time through the 200 m? (answer hours)

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josebarradas1607 josebarradas1607 · Answer 1 · 2019-09-24T08:32:32+02:00

Answer:

a) 30.726m/s and b) 5.5549s

Step-by-step explanation:

a.) What was Chris Huber’s speed in meters per second(m/s)?

Given the distance and time, the formula to obtain the speed is

[tex]v=\frac{d}{t}[/tex].

Applying this to our problem we have that

[tex]v=\frac{200m}{6.509s}= 30.726m/s[/tex].

So, Chris Huber’s speed in meters per second(m/s) was 30.726m/s.

b) What was Whittingham’s time through the 200 m?

In a) we stated that [tex]v=\frac{d}{t}[/tex]. This formula implies that

First, observer that [tex]19\frac{km}{h} =19,000\frac{m}{h}=\frac{19,000}{3,600}m/s= 5.2777m/s[/tex].

Then, Sam Whittingham speed was equal to Chris Huber’s speed plus 5.2777 m/s. So, [tex]v=30.726\frac{m}{s} +5.2777\frac{m}{s}= 36.003 m/s.[/tex]

Then, applying 1) we have that

[tex]t=\frac{200m}{36.003m/s}=5.5549s.[/tex]

So, Sam Whittingham’s time through the 200 m was 5.5549s.