a ball is thrown horizontally from the top of a building 29.8 m high. the ball strikes the ground at a point 48.2 m from the base of the building. the acceleration of gravity is 9.8 m/s 2 . find the time the ball is in motion. answer in units of s.

Respuesta :

The ball will be in motion for about 2.44 seconds due to the free-fall.

What do you mean by free-fall?

Free fall is any motion of a body in which gravity is the only force acting on it according to Newtonian mechanics. A body in free fall experiences no force according to general relativity, which reduces gravitation to space-time curvature. When something is in "free fall" in a technical sense, it may not necessarily be going down in the traditional sense of the word. Normally, an object traveling upwards might not be thought of as falling, but if it is solely being affected by gravity, it is said to be in free fall. As a result, the Moon is falling freely around the Earth, even if its fast orbital speed keeps it far from the planet's surface.

According to the question:

the ball is in motion for time, t = ?

initial velocity along y direction = 0

along y direction; h = 1/2gt²

from the above equation:

t = √2h/g

t = √(2×29.8)/9.8

t = 2.44seconds

Hence the ball will remain in motion for about 2.44seconds under free fall.

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