Question

Proof of the first equation of motion(v = u + at) do not copy or send me screenshot​

Answer 1

Answer:

Proof of the first

equation of motion:

v = u + at

where,

v = final velocity

u = initial velocity

a = acceleration

t = time

We know that,

Acceleration = change in velocity/time

$a = \frac{v - u}{t}$

$\Longrightarrow$ v – u = at

$\Longrightarrow$ v = u + at

Hence, proved!

$\fbox {Extra Knowledge}$

Equations of motion:

Equation of motion, mathematical formula that describes the position, velocity, or accleration of a body relative to a given frame of reference.

Equations of motion is also known as SUVAT equations.

s = displacement (m)

u = initial velocity (ms$^{–1}$)

v = final velocity (ms$^{–1}$)

a = acceleration (ms$^{–2}$)

t = time (s)

In general the displacement, initial velocity, final velocity and accleration are all vectors and we can write the SUVAT equations as vector equations.

There are total three equations of motion.