Question

2. Em qual ponto da trajetória ocorrerá o encontro dos móveis?
a) 200m
b) 225m
c) 250m
d) 300m
e) 350m​

Answer 1

$\large\boxed{\begin{array}{l} \sf Condic_{\!\!,}\tilde{a}o\,de\, encontro:S_A=S_B\\\sf S_A=S_A^0+v_AtS_B=S_B^0+v_Bt\\\sf S_A=50+50\cdot t\quad S_B=150+30t\\\sf 50+50\cdot t=150+30t\\\sf100=20\cdot t\Rightarrow t=5\,s \\ \sf Substituindo\,em \,qualquer \,uma \,das \,equac_{\!\!,}\tilde{o}es : \\\sf S_A=50+50(5)=300\,m\\\huge\boxed{\boxed{\boxed{\boxed{ \sf\maltese~\red{alternativa~d}}}}}\end{array}}$