Speed related to Average Velocity

AI Thread Summary
Speed is a scalar quantity that measures how fast an object is moving, while average velocity is a vector that includes both speed and direction. In the given problem, a car travels at a constant speed of 47.0 mi/h for a distance d, followed by another distance d at an unknown speed, resulting in an average velocity of 33.5 mi/h for the entire trip. To find the second speed, the average of the two speeds must equal the average velocity, leading to the equation (47 + X)/2 = 33.5. Solving this gives the second speed as 20 mi/h. Understanding the distinction between speed and average velocity is crucial for solving such problems effectively.
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Homework Statement



I am having difficulty thinking about this problem. How is speed related to average velocity?

A car travels along a straight line at a constant speed of 47.0 mi/h for a distance d and then another distance d in the same direction at another constant speed. The average velocity for the entire trip is 33.5 mi/h.

Homework Equations





The Attempt at a Solution



I have been trying to think of it in these terms

(54 + Q) = 33.5

I know this isn't right...can I get some direction

Thanks!
 
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Velocity is a vector, meaning that it has a size and direction, speed is a scalar meaning that it only has a size.

Assuming relative values , distance d is equal to distance d, your set up could be:
(47MPH Forward + (X)MPH Forward)/2d = 33.5 Forward

Let d be any real number, in this case the simplest number, one. you would then have:
(47MPH Forward +(X)MPH Forward)/2 = 33.5 Forward
(47MPH Forward +(X)MPH Forward) = 67

Remember if it ask for a vector as a answer you MUST provide direction.

SPOILER: Attempted Soution-
X MPH Forward = 20
 
Where does (54+Q) come from? This probably belongs in the relevant equations section.
speed is a scalar quantity, average velocity is a vector
also
A car travels along a straight line at a constant speed of 47.0 mi/h for a distance d and then another distance d in the same direction at another constant speed. The average velocity for the entire trip is 33.5 mi/h.
this isn't asking a clear question, despite it's presence in the problem statement
 
I think he is solving for the second "constant speed"
 
Such a kind person so unlike myself XD indeed it was, or seems to be, implicitly there
 
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