Magnitude of Acceleration without time?

AI Thread Summary
To find the magnitude of acceleration for a speedboat increasing its speed from 50.0 m/s to 80.0 m/s over 200 m, the relevant equation of motion can be used, which does not require time. The equation 80^2 = 50^2 + 2a(200) leads to an acceleration of 9.75 m/s². Participants in the discussion confirm that this approach is correct and encourage each other despite challenges with prerequisite math skills. The solution emphasizes the ability to solve for acceleration using known initial and final velocities and distance. Understanding these concepts is crucial for tackling similar physics problems.
drifterxs12
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Homework Statement



A speedboat increases its speed uniformly from 50.0 m/s to 80.0 m/s over a distance of 200 m.
What is the magnitude of the boat's acceleration if its acceleration was constant?
(Note that you can find the acceleration without finding the time first.)



Homework Equations



Not sure what equation to use since I have no time



The Attempt at a Solution



No idea how to go about this.

Please help!
 
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you know initial velocity, final velocity and distance right?
Now which of the three equations of motion would you use which contain all these along with acceleration?
And yes you can solve without time!
Thing is simple... just substitute and solve!
 
The legend said:
you know initial velocity, final velocity and distance right?
Now which of the three equations of motion would you use which contain all these along with acceleration?
And yes you can solve without time!
Thing is simple... just substitute and solve!

So would it be 80^2=50^2+2a(200-0)?

Which would give me 9.75 m/s
 
drifterxs12 said:
So would it be 80^2=50^2+2a(200-0)?

Which would give me 9.75 m/s

Yes that's the way!
 
The legend said:
Yes that's the way!

Thank you!

I haven't taken the pre-req math class for the physics class I am taking so its been pretty tough for me.
 
Your welcome,
I have similar problems as yours about the math...
 

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