Finding Velocity w/ Wavelength and Work Function

[Andrea_Perez_2F]

Hello! I am having a bit of difficulty figuring out this question if anyone can offer any guidance.

Wavelength 1.25 nm
Work Function 25 eV
Find the velocity of the electron emitted

I know to change into SI Units and to find KE using the wavelength. But after that do we just plug in the values and then square root the result to find velocity? Based on KE= 1/2 m v^2

[Jason Ho 2L]

If I am understanding the question correctly, you would use the following equation:

hv - work function = 0.5mv^2, where v in hv is frequency and v in 0.5mv^2 is velocity.

Use c = lamba x v and substitute that into hv. Plug in wavelength given and the work function given. Lastly, isolate the velocity of the electron.