# How is acceleration due to gravity calculated?

Here you go

Calculating acceleration due to gravity is pretty easy actually. All you have to do is draw some high school level FBD of a body and equate some values and you'll get the acceleration due to gravity of any object kept on the surface or wherever you want to keep it. In this answer I'll keep it short by just explaining how we can calculate acceleration due to gravity on the surface of the earth (I am just assuming earth because you didnt mention the planet and everyone is only curious about earth ) So here we go :

And from our past experiences with physics we also know that Newton told us all that any force experienced by a body can be written as F=ma where 'm' is the mass of the body itself and 'a' is the acceleration it experiences due to that force.

So now we just equate both the forces because they are the same things written in two different mathematical way.

Please Note:

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Acceleration due to gravity is calculated using the formula:

[ g = \frac{F}{m} ]

where ( g ) is the acceleration due to gravity, ( F ) is the force of gravity, and ( m ) is the mass of the object. In most cases, on the surface of the Earth, the force of gravity is approximately ( 9.8 , \text{m/s}^2 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- An object is at rest at #(4 ,8 ,3 )# and constantly accelerates at a rate of #4/3 m/s^2# as it moves to point B. If point B is at #(3 ,1 ,7 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
- An object has a mass of #6 kg#. The object's kinetic energy uniformly changes from #480 KJ# to #108 KJ# over #t in [0, 8 s]#. What is the average speed of the object?
- An object's two dimensional velocity is given by #v(t) = ( t^3, t-t^2sin(pi/8)t)#. What is the object's rate and direction of acceleration at #t=4 #?
- What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) =2t^2-t-4# from #t in [2, 3]#?
- The position of an object moving along a line is given by #p(t) = 2t - sin(( pi )/6t) #. What is the speed of the object at #t = 8 #?

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