Question

How does one calculate the final velocity from initial velocity, mass and acceleration values?

Answer 1

To calculate the final velocity ($v$) of an object given its initial velocity ($u$), mass ($m$), and acceleration ($a$), you can use the equation known as the second law of motion, which is expressed as:

$v=u+at$

However, it's important to note that the second law of motion is generally used to calculate the change in velocity over a specific time interval. If you are interested in finding the final velocity at a particular instant, assuming the acceleration is constant, you can use this equation.

Here's how you can calculate the final velocity:

1. Determine the values of the initial velocity ($u$), mass ($m$), and acceleration ($a$). Make sure the units are consistent (e.g., meters per second for velocity, kilograms for mass, and meters per second squared for acceleration).

2. Substitute the known values into the equation: $v=u+at$.

3. Calculate the product of the acceleration and time ($at$).

4. Add the product $at$ to the initial velocity $u$ to find the final velocity $v$.

The resulting value of $v$ will be the final velocity of the object under the given conditions. Remember to include the appropriate units when expressing the final velocity.

It's worth noting that the equation mentioned above assumes that the mass of the object remains constant and that the acceleration is constant throughout the motion. If the mass or acceleration changes, or if the motion is subject to non-constant acceleration, more advanced calculations or principles may be required.