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41 votes
41 votes
Show that the displacement of a body moving with uniform acceleration a is given by


s = ut + 1 / 2at {}^(2)
where U is the is the velocity of the body at time (t)=0



User EdibleEnergy
by
2.7k points

1 Answer

5 votes
5 votes

Answer:

I only Know to derive so

Step-by-step explanation:

We have from first equation,

V = u+at

From second equation

S=u+v/2×t

Now by placing the value of v from equation 1 into 2

or s =u+u+at/2×t

or,s= 2u+at/2×t

or,s=2ut/2+at^2/2

Therefore s=ut+1/2at^2

User Tai Dao
by
3.0k points