If a crane worker lifts a crate with a mass of 200 kg from the ground to a
shipping container that is 45 meters off the ground, by how much has the
worker increased the gravitational potential energy of the crate? (recall that g
= 9.8 m/s2)

a. 88,200 j
b. 31,900 j
c. 63,500 u
d. 48,100 j

The speed was not exceeded so it was slow

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.