Question

compute vectors for horizontal velocity on each black dot on the projectiles flight path. vectors should represent the correct magnitude and direct for the horizontal velocity at each point of the balls path being thrown to the left.

Explanation:

In projectile motion, if we ignore air resistance, there are no horizontal forces acting on the object. This means the horizontal velocity remains constant in magnitude and direction (leftward, as the ball is thrown left) at every point along the flight path. Each vector should be identical in length and point directly left from each green dot.

Answer:

At every green dot on the projectile's path, draw a vector of the same length pointing directly to the left, representing constant horizontal velocity (no air resistance).