document.write( "Question 1024137: a. You ride your bike to a store, 4 mi away, to pick up things for dinner. When there is no wind, you ride at 10 mi/h. Today your trip to the store and back took 1 hour. What was the speed of the wind today?
\n" ); document.write( "b. Reasoning: Explain why there is no difference between the travel time to and from the store when there is no wind. \n" ); document.write( "

Algebra.Com's Answer #639592 by Alan3354(69443) $\"\"$ $\"About$

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a. You ride your bike to a store, 4 mi away, to pick up things for dinner. When there is no wind, you ride at 10 mi/h. Today your trip to the store and back took 1 hour. What was the speed of the wind today?
\n" ); document.write( "b. Reasoning: Explain why there is no difference between the travel time to and from the store when there is no wind.
\n" ); document.write( "-------------
\n" ); document.write( "Why would there be a difference?
\n" ); document.write( "It's called the \"relative wind.\" For a ground vehicle, it's the vector sum of the windspeed (wrt the Earth) and the vehicle speed (wrt the Earth).
\n" ); document.write( "If the windspeed is zero, the direction of the vector is not relevant.
\n" ); document.write( "-----------
\n" ); document.write( "What is the relation between windspeed and bike speed?
\n" ); document.write( "The windspeed is not linearly related to bike speed. A 10 mi/hr crosswind when biking at 10 mi/hr does not cause a 45 deg change in direction. \n" ); document.write( "

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