You and your friend peter are putting new shingles on a roof pitched at 20 ∘ . you're sitting on the very top of the roof when peter, who is on the edge of the roof, 5.2 m away, asks you for the box of nails. rather than carry the 2.0 kg box of nails down to peter, you decide to give the box a push and have it slide down to him.

The object's initial distance above the groundthe object's initial velocity

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.