1) Displacement: -49 m, in the negative direction
Explanation:
The displacement of an object is a vector, whose magnitude is given by the difference between the final point of the motion and the starting point:
[tex]d=p_f -p_i[/tex]
In this problem, the starting point is +34 m, while the final position is -15 m; therefore, the displacement is:
[tex]d=-15 m- (+34 m)=-49 m[/tex]
and the direction is negative, in according to the negative sign.
2) Velocity: -3.27 m/s
Explanation:
Velocity is equal to the ratio between the displacement and the time taken:
[tex]v=\frac{d}{t}[/tex]
in this problem, we have:
d = -49 m is the displacement
t = 15 s is the time
therefore, the velocity is
[tex]v=\frac{-49 m}{15 s}=-3.27 m/s[/tex]
and the direction is negative.