$1.$ A projectile, with mass $,$ located $$above the ground is launched in the horizontal direction. Before it strikes the ground, it travels $$in the horizontal direction. Show the formulas for initial momentum and error calculation, then calculate and properly report the momentum of the steel ball in the horizontal direction, $.$

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$2.$ The same projectile, launched in the horizontal direction, is caught by a stationary pendulum with a mass of $.$ The pendulum rises $$in the vertical direction. Show the formulas for final momentum and error calculations, then calculate and properly report the momentum of the ball$-$pendulum system at the moment the ball is caught by the pendulum, $.$

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$3.$ Calculate the percent difference of the loss of momentum to two decimal places using the following formula.

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