Question

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

Explanation:

Step1: Analyze projectile motion characteristics

In projectile motion, horizontal velocity ($v_x$) is constant (assuming no air - resistance), vertical acceleration ($a_y=-g = - 9.8\ m/s^2$), and vertical velocity changes linearly ($v_y=v_{y0}+a_y t$), horizontal displacement changes linearly ($d_x = v_{x0}t$) and vertical displacement changes quadratically ($d_y=v_{y0}t+\frac{1}{2}a_y t^{2}$). The first graph shows acceleration vectors. In projectile motion, the acceleration is constant ($a = g$ downwards). The second table shows $v_x$ is constant ($v_x = 12\ m/s$) and $v_y$ changes linearly ($\Delta v_y=-9.8\ m/s$ per second). The third table: if $v_{x0} = 8\ m/s$ (since $d_x=v_{x0}t$, when $t = 1\ s$, $d_x = 8\ m$), and $d_y=0\times t+\frac{1}{2}\times(- 9.8)t^{2}$, when $t = 1\ s$, $d_y=-4.9\ m$, when $t = 2\ s$, $d_y=-19.6\ m$ etc. The fourth graph should show velocity vectors. The horizontal component of velocity is constant and the vertical component changes. But the first graph (with acceleration vectors) is different from the others as the other three (two tables and one graph) are related to velocity and displacement (which are kinematic quantities that change in a more complex way compared to the constant acceleration in projectile motion)

Answer:

The graph with acceleration vectors (the first one)