Changing at a constant rate equal to acceleration.
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Surface area is ONE thing that can affect how fast an object falls. Two forces determine how fast an object falls - the force of gravity and the opposing drag on the object from the medium it is falling through. In the case of an object falling in a vacuum, there is no drag so the object falls strictly according to the law of gravity. If an object is dropped through a fluid such as air or water, it can reach a terminal velocity where the force of gravity is exactly counterbalanced by the opposing drag on the object. In this case acceleration ceases - although motion does not. In other words, the object continues to fall, but it doesn't speed up. Drag force is a function of object velocity, viscosity of the fluid it is falling through, the surface area of the falling object, the surface roughness of the falling object, and the geometry of the falling object (spheres usually have less drag than cubes for example).
Terminal Velocity. This is the velocity at which the accelaration from Earth's gravity and the drag from air resistance reaches equillibrium.
For this we calculation must consider the equations=uv + 1/2 at2Where s = displacement, u= initial velocity, v= velocity, a= acceleration & t=time.Since initial velocity is is at rest hence 0 we can ignore the uv.Also the acceleration is gravity or g.So therefores=1/2 gt2For earth g= 9.812865328 m/sand t= 5 ssos= 1/2*9.812865328*(5)2s= 122.66mThis answer of course does not take into consideration wind resistance.
The traditional acceleration due to gravity (9.8meters per second per second) is assuming a vacuum. However, for shortfalls, it works out well.For longer falls, the force of gravity is eventually equaled by the force ofair resistance. At this time the speed remains constant. As you are likelyaware, in order to have a change in velocity, an unbalanced force isrequired.The "terminal velocity" is determined by the shape of the object. Skydivers can speed up and slow down by changing the shape they present to therelative wind (the air going by them). Ultimately, they open theirparachute and greatly increase the for of the air resistance... (luckily!)slowing them down considerably.
It's 9.81m/s since vertical acceleration is always constant.