An object moves from position +34m to the position -15m in 15 seconds. What is the total displacement? What is the total velocity?

Respuesta :

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.