Finding speed and distance of a train

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A train with a mass of 5.77 million kg is initially traveling at 99.4 km/hr when brakes are applied, creating a net backward force of 1.11 million N for 26.9 seconds. The user attempts to calculate the new speed and distance traveled using the equations of motion but encounters errors in their calculations. They correctly determine the acceleration to be 0.192 m/s² but struggle with applying it to find the final velocity and distance. Despite multiple attempts, the user receives feedback that their results are incorrect and seeks further clarification on their methodology. The discussion highlights the importance of correctly applying physics equations to solve motion problems.
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1. Homework Statement

A train has a mass of 5.77E+6 kg and is moving at 99.4 km/hr. The engineer applies the brakes, which results in a net backward force of 1.11E+6 N on the train. The brakes are held on for 26.9 s.

What is the new speed of the train?

How far does it travel during this period?

mass of train: 5,770,000 kg

speed of train: 99.4 km/hr (i converted it to m/s and got 27.611 m/s)

Backwards net force of: 1,110,000 N

Brakes held for: 26.9 s

2. Homework Equations

f=ma?

V=Vo+at?

X=Xo+(Vo)(t)+.5at^2?

3. The Attempt at a Solution

I am fairly new to physics and don't really know what I'm doing, anyways...first i used f=ma
and got a=.192 then i used that in the second equation and got V=1,110,005.165 N and then I plugged that into the third equation and got 29859069.4666 M but it said i was wrong :/.

Can someone please guide me through this problem? it would be much appreciated

-Thanks in advance!

Ok, so i tried it again and i was confident that i was correct.

i used f=ma to get a=.192

i then used a in the second equation ( V=27.611+.192(26.9)) to get a Velocity of 32.7758

i then used the 3rd equation to get a distance of 812.20246 m but it said it was wrong again.

can you help me clarify or show me where i went wrong?

Thanks
 
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