00:01
So here we have to find out the velocity and acceleration of the vector that is r of t which is equal to under root 3 of t i plus e raised to the power t of j plus e raised to the power minus t of k at the value of t that is equals to 0.
00:16
So we have to find out the velocity acceleration.
00:19
So here this is the vector which we are given here.
00:21
So we are considering that r of 0 is equals to under root 3 multiplied by the 0 that is 0 5 plus e raised to the power 0 that is 1.
00:35
1 of j plus 1 of k.
00:38
So we are having the value of r of 0 that is equals to j vector plus k cap.
00:44
So we are having the value of point that is 0 1 and 1.
00:48
Now we are considering about r of t.
00:50
So r of t is equals to v of t.
00:54
So this value from here is equals to r of t become equals to under root 3 of i cap plus e raised to the power t of j cap minus e raised to the power minus of t of k cap.
01:08
So this from here is equals to minus 3 i plus j cap that is e raised to the power 0.
01:16
Plugging into the bind and 0.
01:19
Sorry.
01:26
So this is the value minus t cap.
01:30
So this is the value from here.
01:31
Now we are considering about a point that is 0 1 and 1.
01:35
So this from here is equals to v of 0 become equals to 3 raised to the power i plus e raised to the power 0 j minus e raised to the power minus 0 of k cap...