# An object is dropped from rest from the top of a 400 m cliff on Earth. If air resistance is negligible, what is the distance the object travels during the first 6s of its fall?

a)30m

b)60m

c)120m

d)180m

e)360m

I got a) as my answer. I used

x-x_i = v_i * t +1/2at

x-400= 0(6) + 1/2 (9.8)(6)

x-400=29.4

x=429.4

so then I did 429.4-400 which gave me 29.4

Is this correct?

I don't know what you are trying to do with those equations. Try using the correct formula, which is

distance fallen = (1/2) g t^2.

None of the choices is quite right but (d0 is closest. Perhaps they expect you to assume that g = 10 m/s^2. The actual value is 9.8, which you have used.