Question

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

Explanation:

Step1: Analyze force vectors

In projectile - like motion (assuming no air resistance), the only force acting on the object is the gravitational force (acting vertically downwards). So, the horizontal force component should be zero. But in the first force - vector diagram (where arrows represent force vectors), there is a non - zero horizontal force vector.

Step2: Analyze acceleration vectors

In projectile - like motion (assuming no air resistance), the only acceleration acting on the object is the gravitational acceleration (acting vertically downwards). The second acceleration - vector diagram (where arrows represent acceleration vectors) has only vertical acceleration vectors, which is consistent with the physical situation.

Step3: Analyze the velocity - table

From the table, \(v_x\) (horizontal velocity) is constant (\(v_x = 8.0\ m/s\) for all \(t\)), and \(v_y\) (vertical velocity) is changing (\(v_y=-9.8t\) approximately, using \(v = v_0+at\) with \(a=- 9.8\ m/s^{2}\) and \(v_{0y} = 0\)), which is also consistent with projectile - like motion (horizontal motion with constant velocity and vertical motion with constant acceleration).

Answer:

The force - vector diagram (the one with non - zero horizontal force vectors) doesn't belong.