derive 2nd equation of motion
Answers
Second equation of motion:
s = ut + 1/2 at^2
sol.
Let the distance travelled by the body be “s”.
We know that
Distance = Average velocity X Time
Also, Average velocity = (u+v)/2
.: Distance (t) = (u+v)/2 X t …….eq.(1)
Again we know that:
v = u + at
substituting this value of “v” in eq.(2), we get
s = (u+u+at)/2 x t
=>s = (2u+at)/2 X t
=>s = (2ut+at^2)/2
=>s = 2ut/2 + at^2/2
or s = ut +1/2 at^2
Well, if you're referring to “Newton's 2nd Law Of Motion”, it's:
“F = MA”
It stands for that the “Pulling” or “Pushing”, on any object — the “FORCE” (F), is the direct result of the object's “Contained Stuff Capacity Amount” — the “MASS” (M), multiplied by its “Sudden Alteration In Both “Speed” & “Movement Course”” — the “Velocity”, which is what “ACCELERATION” (A) is.
So, in summary, “Force = Mass X Acceleration”.