1. The problem statement, all variables and given/known data A freight train traverses 998 cm in one second and 1,000 cm in the next second; the acceleration is constant. a) What is the distance traversed in the third second? b) Find the acceleration in cm/s^2 c) How long had the (initially stationary) train been moving at the beginning of the first second? (498.5 seconds. Hint: First show that the time from rest to the midpoint of the second second is 500 seconds) d) For a real train whose acceleration might have varied, if the given data were the same, could the answer have been appreciably different to part (a)? to part (c)? 2. Relevant equations V= final velocity ; V0 = initial velocity ; V' = average velocity ; a = acceleration ; t = time ; X = final point reached ; X0 = initial point 1) V = V0 + at 2) V^2 = V0^2 + 2a(X-X0) 3) X = X0 + V0t + 1/2at^2 4) V' = V + V0 / 2 3. The attempt at a solution I have the answer for a, which is 999 cm under my calculations. I took 1000 cm + 998 cm / 2 and then multiplied it by 3 seconds, to get 2997 cm traversed in three seconds. Then I subtracted 1998 cm from 2997 cm to get the amount of distance traversed in the third second to 999 cm. For part b, I used equation 1 above, plugged in all the numbers and had an acceleration of 249.75 cm/s^2. However, I am not sure if this is correct. For part C, I used equation #1 above. I used V = X - X0 / t - t0 to find the velocity in the first second, which is 998 cm/s. Then plugged all the numbers in equation 1 and got the answer 3.99 seconds (which is wrong). I must have the wrong acceleration or the wrong formula used. Can anyone help?