Question

at what points are the horizontal velocities of the ball the same value?
a points a and b
b points a and c
c points b and c
d points a and d.
e all of the points.

Explanation:

Step1: Analyze projectile motion horizontal velocity

In projectile motion, the horizontal component of velocity \(v_x = v_{0x}=v_0\cos\theta\) (where \(v_0\) is the initial velocity and \(\theta\) is the launch angle). There is no acceleration in the horizontal direction (\(a_x = 0\)). By the kinematic equation \(v = v_0+at\), since \(a_x = 0\), the horizontal velocity \(v_x\) remains constant throughout the motion.

Answer:

E. All of the points.