Racing Car's Avg Speed: Find the Answer!

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Homework Help Overview

The problem involves calculating the overall average speed of a racing car that accelerates uniformly through three gears, with specified average speeds and durations for each gear.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the basic definition of average speed and its relation to distance and time. Some express uncertainty about the appropriate formula to use, while others suggest calculating distances for each speed segment before finding the average speed.

Discussion Status

The discussion includes various interpretations of how to approach the problem, with some participants providing guidance on calculating total distance and time. There is no explicit consensus, but several productive lines of reasoning are being explored.

Contextual Notes

Participants note that the problem provides average speeds and times but does not directly give distances, leading to questions about how to derive the necessary values for the average speed calculation.

iamchattha
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Homework Statement


A racing car accelerates uniformly through three gears, changes with the following average speed
20 for 2.0 s
40 for 2.0 s
60 for 6.0 s
what is the overall average speed of the car?
a) 12
b) 13.3
c) 40
d) 48
e) 37

Homework Equations

The Attempt at a Solution

 
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Well? Where's your attempt?
 
Doc Al said:
Well? Where's your attempt?
could not think of a possible formula.
 
What's the most basic definition of average speed?
 
Doc Al said:
What's the most basic definition of average speed?
distance traveled by an object during an interval
 
iamchattha said:
could not think of a possible formula.

err, everybody in the whole world knows that

speed = miles per hour (or km per hour)

so you know one formula!
 
William White said:
err, everybody in the whole world knows that

speed = miles per hour (or km per hour)

so you know one formula!
but in the case of above mentioned question three speeds and vales of time are give...not distance and time...i have to drive average speed using 3 vales of speed and time
 
okay
you are in a car that goes 20 miles per hour for 2 hours; then 40 miles per hour for 2 hours and then 60 miles an hour for 6 hours.

how long has elapsed (in hours) and how far has the car gone (in miles) ?
 
could it be done in a way that i first find out 3 values of distance( x= vt) using the above data and then taking 10 s as total time I find average speed?
 
  • #10
Q1) a car travels at 20mph for 2 hours. How far has it gone?
 
  • #11
William White said:
okay
you are in a car that goes 20 miles per hour for 2 hours; then 40 miles per hour for 2 hours and then 60 miles an hour for 6 hours.

how long has elapsed (in hours) and how far has the car gone (in miles) ?
William White said:
Q1) a car travels 20mph for 2 hours. How far has it gone?

40 miles
 
  • #12
iamchattha said:
40 miles
it would be 480 miles in total
 
  • #13
edit, you know how to do it now.
 
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  • #14
William White said:
edit, you know how to do it now.
are you referring to this
"could it be done in a way that i first find out 3 values of distance( x= vt) using the above data and then taking 10 s as total time I find average speed?"
 
  • #15
I'm referring to the fact you now know the total distance and the total time so you know the speed.

Don't overcomplicate this!
 
  • #16
iamchattha said:
distance traveled by an object during an interval
Exactly!

Just calculate the total distance traveled.
 

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