drive the second equation of motion (s=ut+1/2 at²) equation for a body under uniform acceleration.
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Explanation:
Let;
d=distance
S=speed
t=time
s=displacement
v=velocity
So now;
S=dt
If we use velocity instead of speed…then the distance becomes displacement instead of distance hence;
v=st
s=v∗t
But obviously we will be using average velocity since velocity might not be constant throughout.
s=v+u2∗t
Now let's look at another equation;
a=v−ut, where a is acceleration, v is final velocity, u is until velocity and t is time taken
Rearranging this equation we get;
v=u+at
We substitute this value of v is the first equation we got;
s=u+at+u2∗t
s=2ut+at22
s=2ut2+at22
s=ut+12at2
Hope I helped
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