2-23 할리데이 10판 솔루션 일반물리학

$$ \begin{cases} v_0 &= 0 \\ a &= \Cons \\ t_A &= \frac{1}{5}\ut{s} \\ t_B &= 5.00\ut{s} \end{cases} $$ $$ \Ans = S_A : S_B =?$$ $$\begin{aligned} \\ S &= v_0t+\frac{1}{2}at^2 \\ &= \frac{1}{2}at^2 (\because v_0=0) \end{aligned} $$ $$ \begin{aligned} \Ans &= S_A : S_B \\ &= \frac{1}{2}at_A^2 : \frac{1}{2}at_B^2 \\ &= t_A^2 : t_B^2 \\ &= \left(\frac{1}{5}\ut{s}\right)^2 : (5.00\ut{s})^2 \\ &= 1:625 \end{aligned} $$