Question

if v=u+at then the value of t=​

Answer 1

u is the initial velocity of the object.

v is the final velocity of the object.

t is the time passed to gain the final velocity from initial velocity.

a is the acceleration.

We know, acceleration is the rate of change of velocity of an object with respect to time . Here velocity change from u to v in time t. So We can write,

a= (v-u)÷t

or, at = v-u

or, v = u+at

If the object start moving from a stationary situation i.e with a initial velocity 0 (Zero) then u will be 0 (Zero) therefore

v=0+at

or, v=at

Answer 2

Answer:

So we have to derive

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

$\rm{Solved\:! }$