Two particles $A$ and $B$ move from rest along a straight line with constant accelerations $f$ and $h,$ respectively. If $A$ takes $m$ seconds more than $B$ and describes $n$ units more than that of $B$ to acquire the same speed, then
- A$(f+h) m^{2}=h n$
- B$(f-h) m^{2}=f h n$
- C$(h-f) n=\frac{1}{2} f h m^{2}$
- D$\frac{1}{2}(f+h) n=f h m^{2}$
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