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.
:
a. Determine the total time t, for the trip. (Express your answer in terms of v1, v2 and d)
t = {{{.5d/(v1)}}} + {{{.5d/(v2)}}}
b. What is the total distance traveled for the entire trip? (Express your answers in terms of d)
d = total dist (distance is given as d, why complicate it)
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c. What is the displacement for the entire trip?
d = displacement from A to B
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d. What is the average speed of the car for the entire trip? (Express your answer in terms of v1 and v2 only)
let a = the average speed of the trip
Another time equation
{{{.5d/(v1)}}} + {{{.5d/(v2)}}} = {{{d/a}}}
get rid of the decimal, mult by 2
{{{d/(v1)}}} + {{{d/(v2)}}} = {{{2d/a}}}
multiply equation by a*v1*v2, cancel denominators
a(v2)d + a(v1)d = 2d*v1*v2
simplify, divide eq by d
a*v2 + a*v1 = 2*v1*v2
a(v2+v1) = 2*v1*v2
a = {{{(2*v1*v2)/((v1+v2))}}} is the average speed of the trip
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e. What is the average velocity of the car for the entire trip?
The same