Question

the data table below shows the position of an object based on time. which statements about the object are true? check all that apply diagram 2 time (s) position (m) 0 0 1 6 2 12 3 18 4 24 the object is at rest between 0 and 4 seconds the object moves 6 meters every second the objects moves 1 meter every 6 seconds the object is accelerating velocity is constant the object is in dynamic equilibrium the object is in static equilibrium

Explanation:

Step1: Calculate velocity

Velocity $v=\frac{\Delta x}{\Delta t}$. For $t = 0$ to $t = 1$ s, $v=\frac{6 - 0}{1-0}=6$ m/s. For $t = 1$ to $t = 2$ s, $v=\frac{12 - 6}{2 - 1}=6$ m/s. For $t = 2$ to $t = 3$ s, $v=\frac{18 - 12}{3 - 2}=6$ m/s. For $t = 3$ to $t = 4$ s, $v=\frac{24 - 18}{4 - 3}=6$ m/s.

Step2: Analyze motion - state

Since velocity is constant ($v = 6$ m/s), the object is not accelerating ($a=0$ as $a=\frac{\Delta v}{\Delta t}$ and $\Delta v = 0$). An object in motion with constant velocity is in dynamic - equilibrium. It is not at rest (as position is changing) and not in static - equilibrium (which is for objects at rest).

Answer:

The object moves 6 meters every second
Velocity is constant
The object is in dynamic equilibrium