A pendulum bob of mass m is set into motion in a circular path in a horizontal plane as show in the figure. The square of the angular momentum of the bob about the vertical axis through the point P is

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.

Can you show the

25,000 = 2.5 x 10⁴250 = 2.5 x 10^20.025 = 2.5 x 10⁻²0.00025 = 2.5 x 10⁻⁴