00:01
We have an object where its position is given by the function r is equal to 2 plus 6t in the i -hat direction, plus 3 minus 2t squared in the j -hat direction.
00:22
And the quantities are in si units, so we can assume that this is in units of meters, and we want to find the speed of the object.
00:36
So the speed at t is equal to two seconds.
00:46
So in order to find speed, we first have to find the velocity function.
00:51
The velocity function is equal to the first derivative of our displacement function.
00:59
So let's look at that.
01:01
So the derivative of two is zero.
01:04
The derivative of 6t is 6.
01:09
This is in the i -hat direction.
01:11
We have plus the derivative of 3 is 0...