A train is traveling at 100km/h during a fog. as the train comes out into a clear stretch, the engineer suddenly sees a car stalled on the tracks 0.50km away. she applies the brakes which are capable of giving the train an acceleration of -1.0m/s^2.
a how long a time will it take the train to stop?

Question

A train is traveling at 100km/h during a fog. as the train comes out into a clear stretch, the engineer suddenly sees a car stalled on the tracks 0.50km away. she applies the brakes which are capable of giving the train an acceleration of -1.0m/s^2.
a how long a time will it take the train to stop?

anonymous · Answer

for the time I got 31.6s, is that right?

theeric · Answer

I used $a=\dfrac{v_f-v_i}{\Delta t}$

$\implies \Delta t = \dfrac{v_f-v_i}{a}= \dfrac{-v_i}{a}$

theeric · Answer

A more fun problem is "will the train hit the car?"

anonymous · Answer

Thank you so much!

theeric · Answer

You're welcome! :) Let me know if you have any more questions on this!