Initially, both A and B are moving with the same velocity in the same direction,
∴ The initial relative velocity .
uAB = uA – uB = 0
when t = 50 s,
relative acceleration = aAB = 1 ms-2
If s is the distance moved, then
From s = ut + 1/2at2
S = uAB × t + 1/2 aABt2
S = 0 × t + 1/2 × 1 × 502
= 2500/2 = 1250 m.
Hence, the Initial distance of separation is 1250m.