An engineer in a locomotive sees a car stuck

on the track at a railroad crossing in front of
the train. When the engineer first sees the
car, the locomotive is 170 m from the crossing
and its speed is 25 m/s.
If the engineer’s reaction time is 0.68 s,
what should be the magnitude of the minimum deceleration to avoid an accident?
Answer in units of m/s^2

I really need help with this please!

2 answers

during the first 0.68s, the train moves 0.68*25 = 17m
Now just solve for a in
25 + at = 0
25t + 1/2 at^2 = 170 - 17
You see I'm not well versed in this subject, and am having a hard time grasping it, but do I just solve the equation 25t + 1/2 at^2 = 170 - 17 and that's it?
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