SOLUTION: 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 sta
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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)
b. What is the total distance traveled for the entire trip? (Express your answers in terms of d)
c. What is the displacement for the entire trip?
d. What is the average speed of the car for the entire trip? (Express your answer in terms of v1 and v2 only)
e. What is the average velocity of the car for the entire trip?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 = +
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)
:
c. What is the displacement for the entire trip?
d = displacement from A to B
:
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
+ =
get rid of the decimal, mult by 2
+ =
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 = is the average speed of the trip
:
e. What is the average velocity of the car for the entire trip?
The same
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