Question

Derive v equals to uplusat

Answer 1

Answer:

Explanation:

v = u + at ….

Which is First equation of motion ….

So , to derive it I am going to use Integration method ….

In the equation v = u+ at ….

v = final velocity

u = initial velocity

a = acceleration

t = time period of acceleration

Here we should note that acceleration is constant ….

So let's start to derive First equation of motion ..

We know that

a = dv/dt

So …

dv = adt

Now integrating both sides ….

So I cannot find some of the mathematical symbols in my phone's keyboard so I cannot write the answer but I will provide a pic of derivation of First equation of motion using integration …

Answer 2

Derivation of the formula { v = u+at } using algebraic method:

we know that the equation for acceleration is

a = v-u/t {equation.1}

(where a is acceleration, v is final velocity, u is initial velocity and t is time)

so from {equation.1} we get:

a = v-u/t

= at = v-u (we multiply time on both sides, cancels on RHS)

=> at + u = v

(which we can also write as: )

v = u + at

hence, proved.

[Please Note that there are many ways to prove the 3 equations of motion, including Graphical method and calculus method, this is the easiest method of proving if you know basic algebra]

Hope That Helped!!