Find the Perfect Vacation Destination

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New poster has been reminded to type their work into the forum instead of posting pictures of their work
Homework Statement
I've completed it but I don't think it's right could someone please check?
Relevant Equations
Equations of motion
See question and attempt answer below. Thanks.
 
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  • Photo of a printed exam question on a laptop screen about a train's motion: a 1.8 × 10^5 kg train accelerating at 0.2 m/s² on a level track, then climbing a 5° slope, decelerating at 0.5 m/s², with parts (i) to (iv) and a velocity-time graph sketch request.
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  • Handwritten physics working in red ink on lined paper: mass m = 1.8 x 10^5, s = ut + ½at² giving s = 3840 m, a force balance with R = 14000 N giving F = 50000 N, a sloped-incline diagram with mg sin θ, a total time of 264.625 s, and a velocity-time graph with a = 0 segments and a = -0.5 section.
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i), ii) and iii) I agree with your answers.

However check your calculation for the velocity after the initial 2 min acceleration...

V=U+at
U=20 m/s
a=0.2 m/s/s
t=120 s (2min)

= 20 + (0.2*120)
= 20 + 24
= 44m/s

eg not 64m/s

I think you double counted the initial 20m/s.

That effects the stopping time and distance and the time at constant velocity.
 
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As explained above, answer iv) and graph are not correct because the calculated value of speed for end of acceleration period/beginning of slope is too high.
For same reason, calculated times values are not correct.