Question

one of these representations is not like the others. tap on the one that doesnt belong. \the objects vertical acceleration changes by -9.8 m/s every second.\ arrows represent velocity vectors \the objects horizontal velocity is constant; its vertical velocity is changing.\ t (s) vx (m/s) vy (m/s) 0.0 16.0 0.0 1.0 16.0 -9.8 2.0 16.0 -19.6 3.0 16.0 -29.4 4.0 16.0 -39.2

Explanation:

Step1: Analyze the first statement

The first statement says "The object's vertical acceleration changes by - 9.8 m/s every second." This is incorrect as acceleration is the rate of change of velocity and for free - fall near the Earth's surface, the vertical acceleration is a constant $a_y=-9.8\ m/s^{2}$, not changing by - 9.8 m/s every second.

Step2: Analyze the velocity - vector diagram

The velocity - vector diagram shows the horizontal component of velocity remaining constant and the vertical component changing, which is consistent with projectile motion.

Step3: Analyze the second statement

The second statement "The object's horizontal velocity is constant; it's vertical velocity is changing." is correct for projectile motion.

Step4: Analyze the table

The table shows the horizontal velocity $v_x$ remaining constant at 16.0 m/s and the vertical velocity $v_y$ changing by - 9.8 m/s each second, which is also consistent with projectile motion.

Answer:

"The object's vertical acceleration changes by -9.8 m/s every second."