Answer: 6.66 metres 
Step-by-step explanation:
Given that the two particles, A and B, are initially 37.5 m apart. 
Acceleration a = velocity/time 
Make time t the subject of the formula. 
Time t = velocity/acceleration 
Time taken by particle A will be 
Time t = 2/0.6 = 3.33 seconds 
Let's use 2nd equation of motion 
S = Ut + 1/2at^2 
Distance covered by particle A will be achieved By substitute the values for speed and acceleration into the formula 
S = 2 × 3.33 + 1/2 × 0.6 × 3.33^2
S = 6.66 + 0.3 × 11.1
S = 9.99 m
Time taken by particle B will be 
Time t = 3/0.4 = 7.5 seconds 
Distance covered by particle B will be by using the same formula 
S = 3 × 7.5 + 1/2 × 0.4 × 7.5^2
S = 22.5 + 0.2 × 56.25
S = 33.75 metres 
Adding the distance covered by particle A 
Distance = speed × time 
Distance = 2 × 3.33 = 6.66
the distance from A's starting point to C. Is 6.66 metres