Question

one of these representations is not like the others. tap on the one that doesn’t belong.
arrows
represent
force
vectors
arrows
represent
acceleration
vectors
\the objects
horizontal
velocity is
constant; its
vertical velocity
is changing.\

Explanation:

Step1: Analyze the horizontal component

In projectile - like motion (assuming no air resistance), the horizontal acceleration \(a_x = 0\). According to Newton's second law \(F = ma\), the horizontal force \(F_x=ma_x = 0\). The left - hand diagram (force vectors) shows a non - zero horizontal force vector at each point, which is incorrect.

Step2: Analyze the acceleration vectors

The acceleration in projectile - like motion (near the Earth's surface, no air resistance) is \(a=-g\hat{j}\) (vertical acceleration only, \(a_x = 0\)). The middle diagram (acceleration vectors) only has vertical acceleration vectors, which is correct.

Step3: Analyze the velocity - time table

From the table, \(v_x\) is constant (\(v_x=8.0\ m/s\) for all \(t\)), and \(v_y=v_{y0}-gt\) (\(v_{y0} = 0\), \(g = 9.8\ m/s^2\)). For example, at \(t = 1s\), \(v_y=-9.8\times1=- 9.8\ m/s\), at \(t = 2s\), \(v_y=-9.8\times2=-19.6\ m/s\) etc. This is consistent with projectile - like motion (horizontal velocity constant, vertical velocity changing due to gravity).

Answer:

The diagram with force vectors (the left - hand one) doesn't belong.