Question

establish the first equation of motion v=u+at​

Answer 1

Answer:

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Explanation:

Consider a body of mass “m” having initial velocity “u”. Let after time “t” its final velocity becomes “v” due to uniform acceleration “a”. This is the first equation of motion

Answer 2

Answer:

Why is v=u+at the first equation of motion?

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What I am going write is only my point of view. It may not be the most accepted view.

Remember that the geometry of motion is what we called kinematics. In this we have quantities like acceleration, velocity and displacement, distance and speed.

When we say equations of motion in kinematics, we mean how these above quantities changes with time.

we have 2 equations

V=u+at

S=ut+0.5at2

and the 3rd is

V2=u2+2as which actually is just the elimination of t (don’t count it for the moment).

Now kinematics only describe the motion but cannot tell you what causes motion.

In order to understand what motion is, one has to use dynamics whereby a relationship is established between Force (resultant) and acceleration.

When we say first equation of motion, it means the other equations can be derived from it.

Once we have the acceleration, we can get the velocity.

displaystylea=V−ut which is the definition of acceleration.

But the acceleration comes from the defining equation of force:

F=ma

Hence I will put it this way,

F=ma

tells us the acceleration

and next we have

a=V−ut

which define acceleration allow us get to velocity.

Then velocity can get us to displacement by defining velocity

V=ΔSΔt

and we get the displacement

S=ut+0.5at2