How fast is a falling object going without riction

[get_rekd]

An object falls from rest for a distance of 25 m. If there was no air friction, how fast was it going at that distance?

I'm not sure but I would imagine v=(25m)(9.8m/s^2)= 245m/s ? which seems quite high to me so I know I am not calculating it correctly.

 

[Dick]

You sure aren't. The units of your v are m^2/sec^2. That's not a velocity. It's a velocity squared. Hint, hint. There's a shortcut formula you can use, or you can just do straight kinematics. Like x=x0+v0*t+(1/2)*a*t^2.

 

[get_rekd]

so should I just take the square root of 245 then?

 

[Dick]

Nope. There's another dimensionless factor you are missing. If you are going to go for a shortcut, I think you should find the correct formula, there is one that relates initial velocity, final velocity and distance traversed.