Question

why average velocity is equal to final velocity + initial velocity upon 2.​

Answer 1

Solution -

First let me define what is average velocity .

Let me give an example .

Assume that a car starts from a point and travels some distance to reach the end point in a certain period of time t.

It is not practical that the car travels with uniform velocity all the time .

Let the car travel with a velocity of u in the first ( t / 2 ) seconds and with another velocity v in the next ( t / 2 ) seconds .

Here Average velocity becomes $\dfrac{u+v}{2}$

So, we can state that the average velocity is an average of all the varying velocities the body travels with .

If the body travels with three different velocities in three different time intervals . the  Average velocity becomes $\dfrac{u_{1} + u_{2} +u_{3} }{3}$

Similarly you can calculate the average velocity according to specific information, while solving questions .

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Additional Information -

The three equations of motion are -

1. v = u + at

    2. s = ut + (1 / 2 ) a t^2

    3. v^2 - u^2 = 2as

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