Which best describes the purpose of a control sample? to have more quantitative data to analyze at the end of the experiment
to have more qualitative data to analyze at the end of the experiment
to compare its results to those of a well-known scientist
to compare its results to those with the experimental sample

Since you have not included the experiment situation and the data, of course, i can not give you specific details about it. but i can you with this question.1) i will assume that the motion is projectile (parabolic) motion.2) yes, the horizontal distance depends on the horizontal velocity as, naming vx the horizontal velocity and t the time, it is: x = vx × t3) now, observe that the flight time depends on the vertical velocity as, naming voy the initial vertical velocity, t the time and y the vertical distance before reaching the ground: y = yo + voy×t - gt² / 2.the higher the initial vertical velocity (voy) the longer the object will be flying and so t will be higher in the equation for the horizontal distance.that explains the relationship between the horizontal distance and the horizontal velocity.

Well i am not very good at this but  i would be guessing 1hope i  

There are no answer choices, but a metaphor is a comparison between two objects that are not usually related without using like or as.