Answer:
[tex]a_A=1.667\:m/s^2\\a_B=4.334\:m/s^2[/tex]
Explanation:
[tex]v_{0,A}=150 \:km/hour = 41.667 \:m/s\\v_{0,B}=180 \:km/hour = 50 \:m/s[/tex]
[tex]v_A = v_{o,A}+a_At\\50=41.667+5a_A\\a_A=8.333/5=1.667\:m/s^2[/tex]
[tex]x_A=v_{0,A}t+\frac{1}{2} a_At^2\\x_A=41.667*5+\frac{1}{2}*1.667*25=229.1725\:m[/tex]
[tex]x_B=75+x_A=75+229.1725=304.1725\:m[/tex]
[tex]x_B=v_{0,B}t+\frac{1}{2} a_Bt^2\\304.1725=50*5+\frac{1}{2} *a_B*25\\12.5a_B=54.1725\\a_B=4.334\:m/s^2[/tex]