How do I solve these problems (kinematics)

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Homework Help Overview

The discussion revolves around kinematics, specifically focusing on calculating average speed for a trip with varying speeds over different time intervals. Participants are exploring the correct approach to determine the average speed based on given travel times and speeds.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the calculation of average speed and question the method used to arrive at the initial answer. There is also inquiry into the conversion of minutes to hours and the significance of significant figures in the final answer.

Discussion Status

Some participants have offered guidance on the basic equation for distance, rate, and time, while others are questioning the assumptions made in the calculations. There is an ongoing exploration of how to properly express answers with the correct number of significant figures.

Contextual Notes

Participants are working within the constraints of online homework systems, which may have specific requirements for answer formatting, including significant figures. There is also mention of additional related problems that participants find challenging.

carrollk9
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Homework Statement
She drives for 40.0 min at 80.0 km/h, 10.0 min at 75.0 km/h, and 30.0 min at 45.0 km/h

Determine the average speed for the trip
The attempt at a solution
I got 66.25khm by ((4*80)+(75)+(3*45))/8 which looks like its in the ballpark range but when I enter the answer for my online homework its incorrect.

So what's the proper way I am suppose to solve this?
 
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carrollk9 said:
Homework Statement
She drives for 40.0 min at 80.0 km/h, 10.0 min at 75.0 km/h, and 30.0 min at 45.0 km/h

Determine the average speed for the trip
The attempt at a solution
I got 66.25khm by ((4*80)+(75)+(3*45))/8 which looks like its in the ballpark range but when I enter the answer for my online homework its incorrect.

So what's the proper way I am suppose to solve this?
What fraction of an hour is 10 minutes?
 
I appreciate the answer the question but I would enjoy more on understanding how to do them myself

Other questions on my online homework I don't get
Two boats start together and race across a 70-km-wide lake and back. Boat A goes across at 70 km/h and returns at 70 km/h. Boat B goes across at 35 km/h, and its crew, realizing how far behind it is getting, returns at 105 km/h. Turnaround times are negligible, and the boat that completes the round trip first wins.

Boat A wins but by how much? What is the average velocity of the winning boat?
since the boat starts moving at 70km/h and returns at 70km/h how come its says I am wrongs when I enter 70?
 
SteamKing said:
What fraction of an hour is 10 minutes?
1/6th
 
carrollk9 said:
1/6th
Why did you divide your calculation in Post #1 by 8 then?
 
SteamKing said:
Why did you divide your calculation in Post #1 by 8 then?


because they traveled for 80 minutes

I don/t know the proper equation to punch these numbers into.
 
carrollk9 said:
because they traveled for 80 minutes

I don/t know the proper equation to punch these numbers into.
The basic equation to use is distance = rate × time

The only thing I can see that would be wrong with your original answer of 66.25 kph is that this figure has more significant figures than the original data. If you expressed it to 3 significant figures, that might be the difference between a correct result and an erroneous one.
 
SteamKing said:
The basic equation to use is distance = rate × time

The only thing I can see that would be wrong with your original answer of 66.25 kph is that this figure has more significant figures than the original data. If you expressed it to 3 significant figures, that might be the difference between a correct result and an erroneous one.
but my answer is correct right?
 
carrollk9 said:
but my answer is correct right?
Yes, except for the sig figs.
 

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