Question

Prove that v=u+at
Prove that of any method please solve it

Answer 1

OR

Here,

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

What is v=u+at?

v=u+at is the first equation of motion.

In this v=u+at equation,

• u is initial velocity
• v is the final velocity
• a is acceleration
• t is the time period

The given equation is derived from the acceleration point of view. (It can also be derived from velocity and time graph)

Proof:

We know that acceleration is defined as the rate of change of velocity

So,

a= v-ut

Rearranging the terms in the above equation we get,

v=u+at