Empty truck:
d=v22ad=\frac{v^2}{2a}d=2av2
F=ma=mv22dF=ma=m\frac{v^2}{2d}F=ma=m2dv2
The truck with load (m′=3m)m'=3m)m′=3m) :
d′=v′22a′d'=\frac{v'^2}{2a'}d′=2a′v′2
F′=3ma′=3mv22d′F'=3ma'=3m\frac{v^2}{2d'}F′=3ma′=3m2d′v2
Then F=F′F=F'F=F′
mv22d=3mv22d′m\frac{v^2}{2d}=3m\frac{v^2}{2d'}m2dv2=3m2d′v2
3d′=1d\frac{3}{d'}=\frac{1}{d}d′3=d1 where d′=3dd'=3dd′=3d
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