00:01
In this problem, we have to derive the first kinematic equation using the method of calculus.
00:08
So the equation is v equals v0 plus a t.
00:14
V is the final velocity, a is the acceleration, and v0 is the initial velocity, and of course, t represents the time.
00:22
So as we know that velocity is the rate of change of displacement, and the acceleration is the rate of change of velocity.
00:30
So we're going to make use of this equation to derive the kinematic equation what is mentioned about.
00:39
So we rearranged us.
00:40
We get dv as a times d t.
00:43
And we integrate both sides within the limit.
00:47
So the time ranges from zero to t.
00:49
And the velocity goes from initial velocity to the final velocity...
