Magnitude of Acceleration without time?

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Homework Help Overview

The problem involves a speedboat accelerating uniformly from an initial speed of 50.0 m/s to a final speed of 80.0 m/s over a distance of 200 m. The focus is on determining the magnitude of acceleration without using time.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of kinematic equations that relate initial and final velocities, distance, and acceleration. There is an emphasis on finding a suitable equation that does not require time. Some participants suggest substituting known values into the equations to find acceleration.

Discussion Status

Guidance has been provided regarding the appropriate equations to use, and some participants express confidence in the approach. There appears to be a productive exchange of ideas, with participants affirming each other's reasoning.

Contextual Notes

One participant mentions a lack of prerequisite math knowledge, indicating potential challenges in understanding the problem fully.

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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