Define the 3 equatuon of motion graphicaly
Answers
Equation for Velocity-Time relation by graphical method: First equation of Motion. Let an object is moving with uniform acceleration. ... Above equation is the relation among initial vlocity (u ), final velocity (v ), acceleration (a) and time (t). It is called first equation of motion.
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Answer:
Equation for distance –time relation
Distance covered by the object in the given time ‘t’ is given by the area of the trapezium ABDOE
Let in the given time, t the distance covered by the moving object = s
The area of trapezium, ABDOE
= Distance (s) = Area of
△
A
B
D
+
Area of ADOE
⇒
s
=
1
2
×
A
B
×
A
D
+
(
O
D
×
O
E
)
⇒
s
=
1
2
×
D
C
×
A
D
+
(
u
+
t
)
[Since,
A
B
=
D
C
]
⇒
s
=
1
2
×
a
t
×
t
+
u
t
⇒
s
=
1
2
×
a
t
×
t
+
u
t
[∵
D
C
=
a
t
]
⇒
s
=
1
2
a
t
2
+
u
t
⇒
s
=
u
t
+
1
2
a
t
2
The above expression gives the distance covered by the object moving with uniform acceleration. This expression is known as second equation of motion.