To find the change in position between t1=1s and t2=2s, we need to calculate the displacement (change in position) caused by acceleration between these two times.
First, we can find the position at t1=1s:
X1 = 10m + (5m/s^2) (1s)^2 = 15m
Next, we can find the position at t2=2s:
X2 = 10m + (5m/s^2) (2s)^2 = 30m
The change in position between t1 and t2 is simply the difference between X2 and X1:
ΔX = X2 - X1 = 30m - 15m = 15m
Therefore, the change in position between t1=1s and t2=2s is 15 meters.