Question

explain me second equation of motion graphically

Answer 1

Let the initial velocity of the object = u

Let the object is moving with uniform acceleration, a.

Let object reaches at point B after time, t and its final velocity becomes, v

Draw a line parallel to x-axis DA from point, D from where object starts moving.

Draw another line BA from point B parallel to y-axis which meets at E at y-axis. Let OE = time, t

Now, from the graph,

BE = AB + AE

⇒ v = DC + OD (Since, AB = DC and AE = OD)

⇒ v = DC + u (Since, OD = u)

⇒ v = DC + u ------------------- (i)

Now, Acceleration (a)
=
Change in velocity
Time taken
⇒
a
=
v
−
u
t
⇒
a
=
O
C
−
O
D
t
=
D
C
t
⇒
a
t
=
D
C
-----(ii)

By substituting the value of DC from (ii) in (i) we get

v
=
a
t
+
u
⇒
v
=
u
+
a
t
Above equation is the relation among initial vlocity (
u
), final velocity (
v
), acceleration (a) and time (t). It is called first equation of motion.

Answer 2

Hope it will help u mark as brainly please