1. The problem statement, all variables and given/known data An object starts from rest at time t=0.00 s and moves in the +x direction with constant acceleration. The object travels 13.0 m from time t=1.00s to time t=2.00 s. What is the acceleration of the object? a) 5.20 m/s^2 b) 10.4 m/s^2 c) 8.67 m/s^2 d) 6.93 m/s^2 e) 12.1 m/s^2 The correct answer is c) 2. Relevant equations 1. v = v0 + at 2. x= x0 + v0t + 1/2 at 3 v2= v02 + 2a(Δx) 4 Δx= 1/2 (v + v0)t 5. vav-x = (x2 - x1)/(t2-t1) 3. The attempt at a solution The problem says that the object starts from rest and assuming my system starts at zero i can use equation 2 to get: 13 m = 0 + 0 + 1/2 a (2)^2 which gives me: a = 6.5 m/s^2 my next attempt was using the fact that the object traveled more than 13 m because we must take into account the distance traveled in the first second ( from t=0.00 s to t=1.00 s) To solve for this distance which I called 'd' I tried using equation 2 3 and 4 by substituting 'x' for '13 + d'. Eventually I reach a point where i have to use quadratic formula to solve for 'd' and substitute it back into one of my chosen equations. It gets really complicated and I cant seem to find a nice answer for 'a'. Can anyone tell me whats a good way to solve for 'a'? My way seems too difficult to solve in 5 min (this was a question on an old exam). How do you get 8.67 m/s^2 for 'a'?!