In this case, the initial velocity is 0, since we are starting from rest. The time is given, and the velocity is also given.
So, the equation becomes:
velocity = 0 + (acceleration * time)
We can rearrange the equation to solve for acceleration:
acceleration = (velocity - initial velocity) / time
Since the initial velocity is 0, the equation simplifies to:
acceleration = velocity / time
Therefore, the magnitude of constant acceleration required to achieve the same velocity over the same period of time is given by the equation acceleration = velocity / time.
For example, if the velocity is 10 m/s and the time is 2 seconds, the acceleration would be:
acceleration = 10 m/s / 2 s = 5 m/s^2
So, in this example, a constant acceleration of 5 m/s^2 would achieve the same velocity over the same period of time!
