A triangle is called a right triangle if one of its angles is 90°. The Pythagorean theorem is an equation that can be used to calculate the missing side length in a right triangle. In this type of vector addition,
the magnitude of the resultant is the hypotenuse of a right triangle.
The hypotenuse, R, of a right triangle is the side of the triangle opposite the 90° angle. The angle
opposite side A is a, and the angle opposite side B is b. The Pythagorean theorem states that
RP = A2 + B2. For example, if A= 3.0 cm and B = 4.0 cm, the length of R can be found by using the
Pythagorean theorem.

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.

Motion i think. hope it