Word problem for a bus travel and a boat accelerating

AI Thread Summary
The discussion revolves around solving two word problems involving a bus and a boat. The first problem requires calculating the average speed of a bus traveling 20.91 miles in 33 minutes, with participants clarifying the need for unit conversions. The second problem involves determining the time it takes for a boat to accelerate from 13 m/s to 26 m/s over 1.25 km, where the user initially struggled with the formula and unit conversions. Participants offered guidance on using the average acceleration formula and emphasized the importance of converting kilometers to meters. The user ultimately resolved their confusion and expressed gratitude for the assistance received.
jubbly
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Hey everybody, I need help on a few word problems. The major problem I'm having is finding a formula to use.

A bus is going to a football game and leaves at 4:00pm. It travels 20.91 miles to the game in 33 minutes. What is the bus' average speed in miles per hour?

I'm completely clueless on this.

How man seconds would it take a boat to accelerate from 13 m/s to 26 m/s over a distance of 1.25 km?

For this problem I'm using the average acceleration formula, but I'm not getting the answer my teacher got.

Thanks for your help!
 
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jubbly said:
Hey everybody, I need help on a few word problems. The major problem I'm having is finding a formula to use.

A bus is going to a football game and leaves at 4:00pm. It travels 20.91 miles to the game in 33 minutes. What is the bus' average speed in miles per hour?

I'm completely clueless on this.

How man seconds would it take a boat to accelerate from 13 m/s to 26 m/s over a distance of 1.25 km?

For this problem I'm using the average acceleration formula, but I'm not getting the answer my teacher got.

Thanks for your help!

a) What is the average speed in miles per minute? How many minutes in an hour?

b) Show us your work on this, so we can see if we see the error.
 


berkeman said:
a) What is the average speed in miles per minute? How many minutes in an hour?

b) Show us your work on this, so we can see if we see the error.

The mile per minute is .633 and there are 60 minutes in an hour. Sorry, but I still can't find a formula for this.

For the boat my givens are:
Vi = 8.0 m/s
a = 10.0 m/s
dt = 5s

I used the formula of dx = 1/2(vi+a)dt

dx = 1/2(8+10)(5)
dx = 8(5)
dx = 40
 


jubbly said:
The mile per minute is .633 and there are 60 minutes in an hour. Sorry, but I still can't find a formula for this.

You don't need a formula. Just "multiply by 1" to convert units:

https://www.physicsforums.com/showthread.php?t=425866&highlight=conversion


jubbly said:
For the boat my givens are:
Vi = 8.0 m/s
a = 10.0 m/s
dt = 5s

I used the formula of dx = 1/2(vi+a)dt

dx = 1/2(8+10)(5)
dx = 8(5)
dx = 40

I think you are looking at a different problem now. Above, you said this for the 2nd problem:

How man seconds would it take a boat to accelerate from 13 m/s to 26 m/s over a distance of 1.25 km?
 


berkeman said:
You don't need a formula. Just "multiply by 1" to convert units:

https://www.physicsforums.com/showthread.php?t=425866&highlight=conversion




I think you are looking at a different problem now. Above, you said this for the 2nd problem:

Oh, I'm sorry about that. Also I figured out what I did wrong with the boat, as I forgot to convert km into meters.

Also thanks so much for your help!
 


Cool. Glad you t\figured them out.

Welcome to the PF!
 
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