Question

Solve the formula for v1. average acceleration of an object a=v1−v0/t

Answer 1

We are given formula for average acceleration of an object by

`a=(v_1-v_0)/(t)`

We need to solve it for
`v_1`

We can see that we have t in the bottom of right side.

In these types of equations, we always get rid denominator part (bottom value) first.

Bottom number actually represents divisor.

The reverse operation of division is multiplication.

So, we need to multiply both sides by that bottom value (t).

Multiplying given equation by t on both sides, we get

`a* t=t *(v_1-v_0)/(t)`

On simplifying this step, we get

`at = v_1-v_0`

`v_o` is being subtracted from rigth side.

The reverse operation of subraction is addition.

So, adding
`v_0` on both sides, we get

`at+v_0=v_1- v_0+v_0`

On simplfying, we get

`at+v_0=v_1`

Therefore, final equation would be
`v_1=at+v_0`.