$A$ particle starts moving from rest from a fixed point in a fixed direction. The distance $s$ from the fixed point at a time $t$ is given by $s = t^{2} + at - b + 17$, where $a$ and $b$ are real numbers. If the particle comes to rest after $5 \ s$ at a distance of $s = 25$ units from the fixed point, then the values of $a$ and $b$ are respectively:

• A
  $a = -10, b = -33$
• B
  $a = -10, b = -30$
• C
  $a = -8, b = 33$
• D
  $a = -10, b = 33$