Question

How do you convert acceleration to velocity?

Answer 1

Acceleration:

1. In physics, acceleration is represented as the rate of change in the velocity of an object.
2. Both speed up or slow down describe the acceleration.
3. When the speed object speeds up acceleration is taken as positive and if it slows down it is taken as negative.
4. As we know that acceleration is the change of velocity by a unit of time.

$\mathrm{Acceleration}\left(\mathrm{a}\right)=\frac{\mathrm{change}\mathrm{in}\mathrm{velocity}}{\mathrm{time}\mathrm{taken}}$

Velocity:

1. It is defined as the rate of change of the object's position over time. Velocity can be calculated in three different ways:
2. The first one relies on the basic velocity definition. Which is based on changing the position of an object over time:
   $\mathrm{v}=\frac{\mathrm{d}}{\mathrm{t}}$
3. The second method is based on the change of velocity caused by acceleration over a specific time interval:
   $\mathrm{Final}\mathrm{velocity},\mathrm{v}=\mathrm{u}+\mathrm{at}$
   Where u is the initial velocity, and t is the time.
4. The third method is the use of the average velocity formula, which analyzes various velocities over different distances:
   $\mathrm{Average}\mathrm{velocity}={\mathrm{v}}_1{\mathrm{t}}_1+{\mathrm{v}}_2{\mathrm{t}}_{2+.....}$
5. We can calculate the reached velocity after accelerating a few seconds, by multiplying the acceleration by the number of seconds that were accelerated.
6. Let the reached velocity is v, and the time taken is t.(where the initial velocity must be zero)
7. So, to convert acceleration to velocity we can use the formula,
   $\mathrm{v}=\mathrm{a}\times \mathrm{t}$

Note: The SI unit of velocity is m/s and the SI unit of acceleration is m/s².

Acceleration is a vector quantity as it is known as the time rate of change of velocity which is a vector quantity.