Magnitude of Acceleration without time?

[drifterxs12]

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!

 

[The legend]

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!

 

[drifterxs12]

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

 

[The legend]

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

Which would give me 9.75 m/s

Yes that's the way!

 

[drifterxs12]

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.

 

[The legend]

Your welcome,
I have similar problems as yours about the math...