Question

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

Explanation:

Step1: Analyze the horizontal velocity graph

The horizontal - velocity ($v_x$) vs time ($t$) graph shows a constant non - zero value (the red line is horizontal), which is consistent with projectile motion where horizontal acceleration $a_x = 0$ and $v_x=v_{0x}$ (constant).

Step2: Analyze the table

The table shows that $v_x$ is constant ($v_x = 8.0\ m/s$ for all $t$ values) and $v_y$ has a constant change (since $a_y=-g=- 9.8\ m/s^2$, and $\Delta v_y=a_y\Delta t$). For example, from $t = 0.0\ s$ to $t = 1.0\ s$, $\Delta v_y=-9.8-( - 9.8)=0$ (but actually, if we consider the general formula $v_y = v_{0y}+a_y t$, here $v_{0y}=-9.8\ m/s$ and $a_y=-9.8\ m/s^2$, and the table is just showing the velocity at discrete time points. The key is that $v_x$ is constant).

Step3: Analyze the vertical velocity graph

The vertical - velocity ($v_y$) vs time ($t$) graph has a slope of $-9.8\ m/s^2$ (since slope $m=\frac{\Delta v_y}{\Delta t}$, and for free - fall $a_y=-g =-9.8\ m/s^2$ and $v_y=v_{0y}+a_y t$). A non - zero slope indicates an acceleration ($a_y=\frac{\Delta v_y}{\Delta t}$).

Step4: Analyze the vector diagram

The vector diagram shows horizontal velocity vectors (constant in length, so constant $v_x$) and vertical velocity vectors changing in length (since $v_y = v_{0y}+a_y t$ and $a_y
eq0$).

Step5: Analyze the text

The text “The acceleration is a constant value and always directed downwards” is also in line with projectile - motion kinematics ($a_x = 0,a_y=-g$).

The odd - one - out is the horizontal - velocity graph (the top - left graph). In projectile motion, the horizontal velocity is constant (as shown in the table, vector diagram, and is consistent with the text about acceleration, and the vertical - velocity graph shows the effect of acceleration on vertical velocity). But the horizontal - velocity graph is a single - component (horizontal) velocity - time graph, while the table, vertical - velocity graph, vector diagram, and text are more related to the overall projectile - motion description (involving both horizontal and vertical components or the concept of acceleration affecting one of the components).

Answer:

The top - left (horizontal - velocity) graph.