Question

The formula a= bf-v1 is used to calculate acceleration as the change in velocity over a period of time. Solve the formula for the final velocity, bf in terms of initial velocity, v1, acceleration, a, and time,

Answer 1

Answer:

The formula for the final velocity, bf in terms of initial velocity, v1, acceleration, a, and time is given as

$bf=v1+a\times t$

Step-by-step explanation:

Given:

$a=\dfrac{bf-v1}{t}$

To Find:

bf = ?

Solution:

Acceleration:

Acceleration is defined as the ratio between the change in velocity of an object and the time it takes for the object to change the velocity.

In formula, this is written as:

$a=\dfrac{v_{f}-v_{i}}{t}$

Where,

'a' is the Acceleration.

'vf' is the final velocity .

'vi' is the initial velocity.

't' is the time it takes for the object to accelerate from vf to vi

Here it is given as

$a=\dfrac{bf-v1}{t}$

So,

Where,

'a' is the Acceleration

'bf' is the final velocity .

'v1' is the initial velocity.

't' is the time it takes for the object to accelerate from bf to v1.

On  Solving the above equation 'bf' we get

$a=\dfrac{bf-v1}{t}\\\\a\times t=bf-v1\\\\bf=v1+a\times t$....As required