B Calculate Speed over Time: Net Thrust of 5.25 m/s & 124 Secs

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To calculate the speed of an object given a net thrust of 5.25 m/s² over 124 seconds, one must recognize that the thrust represents acceleration, not constant speed. The correct approach is to apply the formula for linear motion, where speed equals acceleration multiplied by time, yielding a final speed of 1380 m/s. It's important to note that the thrust is not constant throughout the entire duration due to the rocket losing mass as it expends fuel, which affects acceleration. Additionally, a separate example involving a flashlight's thrust illustrates the need to convert units correctly when calculating distance over time. Understanding these principles is crucial for accurate calculations in physics.
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This should be a painfully simple question, and yet, I can't find the answer.

once you have calculated the net acceleration force of an object, how do you figure out how fast it will be going over X seconds?

example (taken from here: http://sciencelearn.org.nz/Contexts/Rockets/Looking-Closer/Calculating-rocket-acceleration)

the shuttle rocket has a NET thrust of 5.25 m/s and that thrust is constant for 124 seconds. how do you calculate the speed? (they get 1380 m/s)

I thought it was 5.25 x (124 ^ 2) = m / s ^ 2 but that answer is way off.
then i thought, maybe it's linear? 5.25 x 124 ? but that answer wasn't correct either..

I looked at other pages giving examples, but they all seem to skip the part where they convert the m/s to the final time frame.

help?
 
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NickPerry said:
the shuttle rocket has a NET thrust of 5.25 m/s and that thrust is constant for 124 seconds
The article says 5.25 m/s2 That's not thrust. That's acceleration.

The article also says: "As the shuttle uses its propellant, it also becomes much lighter, which increases acceleration"

So the article is clear that the 5.25 is NOT constant for 124 seconds.
 
Whoops. I must have glanced over that. how about this (where I originally got stuck on)

the acceleration of a flashlight in space:

https://www.reddit.com/r/askscience/comments/dofov/does_a_flashlight_produce_thrust/

1Kg
3watt
=
10 ^ -8 Newton's of force. for 20 hours (27000 seconds)

how did he get 2.5 meters every hour after 20 hours of acceleration?

EDIT:

of course, now I figure it out:

( 3 x 10^ (-8) ) x 27000 = 0.00081 m/s x 60 = 0.0486 m/M x 60 = 2.916 meters per hour. doh >.<

(I originally forgot that they had their final answer as m/hr not m/sec)

Thank you for putting up with me!
 
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