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Exercises on falling bodies and parabolic motion

EXERCISE

A body is launched, with a velocity 'initial horizontal 10 m / sec from a tall building h = 35 m. Determine:
a) the distance d, measured from the base of the building, the point of impact with the ground of the body.
b) The flight time.

SOLUTION

During the motion of fall speed 'remains constant while the horizontal and vertical (at all) varies according to the law:

establish a baseline that, starting from the base of the building, the x-axis is horizontal and the vertical z axis. The projections of the motion along the x-axis and the z-axis are the following:

From (3) by putting z = 0 we get the flight time:

Correspondingly, the projection along the x-axis has traversed a distance: