Question

one of these representations is not like the others. tap on the one that doesnt belong. \the object covers the same horizontal distance every second.\

Explanation:

Step1: Analyze the first table (position - time)

In the first table, \(d_x = 12.0\ m\) for all \(t\) values (\(d_y=-9.8\ m\) for all \(t\) values). This implies that the object is at rest in both \(x\) and \(y\) directions (since position does not change with time).

Step2: Analyze the second table (velocity - time)

In the second table, \(v_x = 12.0\ m/s\) (constant, so uniform motion in \(x\) - direction) and \(v_y=-9.8t\ m/s\) (changing with time, so accelerated motion in \(y\) - direction, \(a_y=-9.8\ m/s^2\)).

Step3: Analyze the text description

The text description “The object covers the same horizontal distance every second” implies uniform motion in the \(x\) - direction (\(v_x=\text{constant}\)) and motion (could be accelerated or not, but the key is the horizontal part).

Step4: Analyze the vector diagram

The vector diagram shows a constant \(x\) - component of velocity (horizontal arrows of same length) and a changing \(y\) - component of velocity (vertical arrows of increasing length), which is consistent with \(v_x=\text{constant}\) and \(v_y = v_{y0}+a_y t\) (\(a_y
eq0\)).

Answer:

The first table (the one with \(d_x\) and \(d_y\) values) doesn’t belong.