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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 sec , at which he commented 鈥淐ogito ergo zoom!鈥 (I think, therefore I go fast). In 2001, Sam Whittingham beat Huber鈥檚 record by 19.0 km/h. What was Whittingham鈥檚 time through the 200 m?

Short Answer

Expert verified

Whittingham鈥檚 time through the 200 m was 5.55 sec.

Step by step solution

01

Given data

The distance covered,x=200m .

Time taken by Chris Huber, t=6.509s.

Whittingham鈥檚 speed is more by 19.0km/h.

02

Understanding the speed

Speed may be defined as the time rate of change in distance. The speed of the cyclist can be found using the given distance and time.

The expression for the speed is given as follows:

Speed=DistanceTime

03

Determination of the Whittingham’s speed

Using equation (i), the speed of Huber is calculated as follows:

Huber'sspeed=200m6.509s=30.727m/s=30.727185km/h=110.6km/h

Since Whittingham鈥檚 speed is more than Huber by ,

Whittinghamsspeed=110.6+19.0km/h=129.6km/h

04

Determination of Whittingham’s time

First, convert Whittingham鈥檚 speed in m/s.

Distance is given in meters to find time so that we will convert speed into m/s.

Whittinghamsspeed=129.6km/h=129.6518m/s=36m/s

The time for Whittingham through 200 m was calculated as follows:

Time=Distancespeed=200m36m/s=5.55s

Hence, Whittingham鈥檚 time through 200 m was 5.55 sec.

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