document.write( "Question 1186710: 7. Stations A and B are d meters apart, with station C exactly in the middle (d/2). A car goes from station A to station C at a speed of v1. From station C, it then proceeds to station B at constant speed of v2.
\n" ); document.write( "a. Determine the total time t, for the trip. (Express your answer in terms of v1, v2 and d)
\n" ); document.write( "b. What is the total distance traveled for the entire trip? (Express your answers in terms of d)
\n" ); document.write( "c. What is the displacement for the entire trip?
\n" ); document.write( "d. What is the average speed of the car for the entire trip? (Express your answer in terms of v1 and v2 only)
\n" ); document.write( "e. What is the average velocity of the car for the entire trip?
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Algebra.Com's Answer #817771 by ankor@dixie-net.com(22740)\"\" \"About 
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7. Stations A and B are d meters apart, with station C exactly in the middle (d/2).
\n" ); document.write( " A car goes from station A to station C at a speed of v1.
\n" ); document.write( " From station C, it then proceeds to station B at constant speed of v2.
\n" ); document.write( ":
\n" ); document.write( "a. Determine the total time t, for the trip. (Express your answer in terms of v1, v2 and d)
\n" ); document.write( "t = \".5d%2F%28v1%29\" + \".5d%2F%28v2%29\"
\n" ); document.write( "b. What is the total distance traveled for the entire trip? (Express your answers in terms of d)
\n" ); document.write( "d = total dist (distance is given as d, why complicate it)
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\n" ); document.write( "c. What is the displacement for the entire trip?
\n" ); document.write( "d = displacement from A to B
\n" ); document.write( ":
\n" ); document.write( "d. What is the average speed of the car for the entire trip? (Express your answer in terms of v1 and v2 only)
\n" ); document.write( "let a = the average speed of the trip
\n" ); document.write( "Another time equation
\n" ); document.write( "\".5d%2F%28v1%29\" + \".5d%2F%28v2%29\" = \"d%2Fa\"
\n" ); document.write( "get rid of the decimal, mult by 2
\n" ); document.write( "\"d%2F%28v1%29\" + \"d%2F%28v2%29\" = \"2d%2Fa\"
\n" ); document.write( "multiply equation by a*v1*v2, cancel denominators
\n" ); document.write( "a(v2)d + a(v1)d = 2d*v1*v2
\n" ); document.write( "simplify, divide eq by d
\n" ); document.write( "a*v2 + a*v1 = 2*v1*v2
\n" ); document.write( "a(v2+v1) = 2*v1*v2
\n" ); document.write( "a = \"%282%2Av1%2Av2%29%2F%28%28v1%2Bv2%29%29\" is the average speed of the trip
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\n" ); document.write( "e. What is the average velocity of the car for the entire trip?
\n" ); document.write( "The same
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