Question

one of these representations is not like the others. tap on the one that doesnt belong. \the object covers the same horizontal distance every second.\

Explanation:

Step1: Analyze the first representation (velocity vectors)

In projectile - like motion (assuming horizontal and vertical components), the horizontal velocity component \(v_x\) should be constant (in the absence of air resistance). The first representation (with velocity vectors) shows horizontal velocity vectors of the same length (indicating constant \(v_x\)) and vertical velocity vectors changing (due to gravity).

Step2: Analyze the second representation (acceleration vectors)

In projectile - like motion, the acceleration is only due to gravity (\(a = g=- 9.8\ m/s^{2}\) vertically). The second representation (with acceleration vectors) shows only vertical acceleration vectors (matching the physical reality of projectile - like motion where \(a_x = 0\) and \(a_y=-g\)).

Step3: Analyze the table

In projectile - like motion, the horizontal velocity \(v_x\) should be constant. In the table, \(v_x\) is changing (\(v_x\) values are \(0.0,16.0,32.0,48.0,64.0\ m/s\) at \(t = 0.0,1.0,2.0,3.0,4.0\ s\) respectively). This is incorrect as there is no horizontal acceleration (\(a_x = 0\) implies \(v_x=v_{x0}\) constant) in the ideal case (no air resistance) for the motion described by the first two representations.

Answer:

The table