What are the 3 equations of motion?
Solution,
1) First equation of Motion:
V = u + at
Derivation:
Consider a body of mass “m” having initial velocity “u”.Let after time “t” its final velocity becomes “v” due to uniform acceleration “a”.
Now we know that:
Acceleration = change in velocity/Time taken
=> Acceleration = Final velocity-Initial velocity / time taken
=> a =
=>at = v-u
or v = u + at
This is the first equation of motion.
—————————————-
(2) Second equation of motion:
s = ut +
Derivation:
Let the distance travelled by the body be “s”.
We know that
Distance = Average velocity X Time
Also, Average velocity =
.: s(t) = …….eq.(1)
Again we know that:
v = u + at
substituting this value of “v” in eq.(2), we get
This is the 2nd equation of motion.
……………………………………………………………
(3) Third equation of Motion
Derivation
We know that
V = u + at
=> v-u = at
or t = ………..eq.(3)
Also we know that
Distance = average velocity X Time
This is the third equation of motion.