Question

Derive the first equasion of motion by graphical method

Answer 1

Hey!
solve in fig...
Hope it helps you

Answer 2

Hello friend
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⭐⭐⭐HERE IS YOUR ANSWER⭐⭐⭐

The first equation of is that the relation between velocity and time.

v = u + at

So let's understand by the graphical method.

I will upload an image in this answer and that is our graph.

⭐Velocity -time graph:

Velocity and time graph shows the change in velocity with time of a uniformly accelerated object. The object starts from the point D in the graph with velocity v.Its velocity keeps increasing and after time t.It reaches the point B on the graph.

The initial velocity of the object = u = OD
The final velocity of the object= v = OC
Time= t = OE

NOW,we know that,

Acceleration (a) = Change in velocity/Time

= final velocity - initial velocity/time

= OC - OD/t

hence,

CD = at .......(i) (OC - OD = CD)

From the graph.......BE = AB + AE

therefore,

v = CD + OD .....( AB = CD and AE = OD)

v = at + u .......(from i )

v = u + at

Now ,we have proved..

This is the first equation of motion.

I hope this helps you.

Thanks.