Question

one of these representations is not like the others. tap on the one that doesnt belong.

the objects acceleration is directed downward.

the objects horizontal velocity is constant; its vertical velocity is changing.

arrows represent velocity vectors

Explanation:

Step1: Analyze the table

The table shows that the horizontal velocity \(v_x\) is constant (\(16.0\ m/s\)) and the vertical velocity \(v_y\) is changing (\(a_y=\frac{\Delta v_y}{\Delta t}=\frac{- 9.8 - 0}{1 - 0}=-9.8\ m/s^{2}\), \(a_y=\frac{-19.6+9.8}{2 - 1}=-9.8\ m/s^{2}\) etc., which means there is a downward acceleration).

Step2: Analyze the text "The object's acceleration is directed downward"

This is consistent with the table data (as calculated above, \(a_y=-9.8\ m/s^{2}\) which is downward).

Step3: Analyze the text "The object's horizontal velocity is constant; it's vertical velocity is changing"

This is also consistent with the table (\(v_x = 16.0\ m/s\) constant, \(v_y\) changing as \(t\) changes).

Step4: Analyze the velocity - vector diagram

If the horizontal velocity is constant, there should be horizontal - velocity vectors (in addition to the vertical ones changing in length). But the given velocity - vector diagram only has vertical vectors.

Answer:

The velocity - vector diagram (the one with only vertical arrows representing velocity vectors) doesn't belong.