State the usefulness of newton thrid law of motion
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Useful to pass in IIT JEE Exams
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Answer:
Explanation:The third equation of motion is derived by substituting the value of time (t) from first equation of motion.
We know from first equation of motion,
v
=
u
+
a
t
⇒
v
−
u
=
a
t
⇒
a
t
=
v
−
u
⇒
t
=
v
−
u
a
-----(v)
We know that the second equation of motion is,
s
=
u
t
+
1
2
a
t
2
By substituting the value of
t
from euqation (v) we get
s
=
u
(
v
−
u
a
)
+
1
2
a
(
v
−
u
a
)
2
⇒
s
=
u
×
v
−
u
a
+
1
2
a
(
v
−
u
)
2
a
2
⇒
s
=
u
(
v
−
u
)
a
+
a
×
(
v
−
u
)
2
2
×
a
×
a
⇒
s
=
u
v
−
u
2
a
+
(
v
−
u
)
2
2
a
⇒
s
=
2
(
u
v
−
u
2
)
+
(
v
−
u
)
2
2
a
⇒
2
a
s
=
2
u
v
−
2
u
2
+
v
2
+
u
2
−
2
u
v
⇒
2
a
s
=
−
2
u
2
+
v
2
+
u
2
⇒
2
a
s
=
−
u
2
+
v
2
⇒
2
a
s
+
u
2
=
v
2
⇒
v
2
=
u
2
+
2
a
s
---(vi)
This is called the Third equation of motion.
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