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.\

t (s)	vx (m/s)	vy (m/s)
1.0	8.0	-9.8
2.0	8.0	-19.6
3.0	8.0	-29.4
4.0	8.0	-39.2

Explanation:

Step1: Analyze force vectors

In projectile - motion, the horizontal force is zero (neglecting air - resistance), and the only force is the vertical gravitational force. The first force - vector diagram should have only a vertical downward force vector at all points, but it has horizontal force vectors which is incorrect for projectile motion.

Step2: Analyze acceleration vectors

In projectile motion, the acceleration is due to gravity and is always vertically downward with magnitude \(g = 9.8m/s^{2}\), and the second acceleration - vector diagram correctly shows this.

Step3: Analyze velocity description

The statement about horizontal velocity being constant and vertical velocity changing is correct for projectile motion as there is no horizontal acceleration and there is a vertical acceleration due to gravity.

Step4: Analyze velocity - table

The table shows a constant horizontal velocity (\(v_x=8.0m/s\)) and a changing vertical velocity (\(v_y\) changes by \(- 9.8m/s\) each second due to \(a = - 9.8m/s^{2}\)), which is consistent with projectile motion.

Answer:

The first representation (the one with force vectors) is the one that doesn't belong.