Answer:
D) 11 m/s
Explanation:
The problem asks us to calculate the velocity of the hot dog with respect to the observer stationary outside the train. This velocity is given by:
[tex]v=v_t + v_m + v_h[/tex]
where
[tex]v_t=+10 m/s[/tex] is the velocity of the train (towards right)
[tex]v_m=+2 m/s[/tex] is the velocity of the man (towards right)
[tex]v_h=-1 m/s[/tex] is the velocity of the hot-dog (towards left, so we put a negative sign)
Substituting the numbers into the equation, we find
[tex]v=+10 m/s+2 m/s-1 m/s=+11 m/s[/tex]
and the positive sign means the velocity is toward right.