set term cairolatex pdf size 5in,3in
set output "kinetic_energy.tex"
#set term x11 persist
set linetype 1 lc rgb '#E41A1C' pt 7 ps 0.3
set linetype 2 lc rgb '#377EB8' pt 7 ps 0.3
set linetype 3 lc rgb '#4DAF4A' pt 7 ps 0.3
set linetype 4 lc rgb '#984EA3' pt 7 ps 0.3

set xlabel "Time [s]"
set ylabel "$\\sum$(Kinetic Energy) [J]"
set offsets graph 0.1, graph 0.1, graph 0.1, graph 0.1
set key outside top horizontal center

plot 'kinetic_without_slowdown' using 1:2 with linespoints lt 1 title "No External Force", \
    'kinetic_with_slowdown' using 1:($2-4.50993810539) with linespoints lt 2 title "External Force"