00:01
Hello students, in this question we need to find out the velocity vector and the acceleration vector.
00:05
It is given that r is equal to t into t minus 1 i plus t square plus 1 of j.
00:18
So, so the first part we can find out the vector position at t is equal to 2s where t equal to 2.
00:27
So, we can find out r of 2 by 2 into 2 minus 1 i plus 2 square plus 1 into j.
00:39
Therefore, we will get r of 2 as 2i plus 5j.
00:47
Now, to find out the vector velocity vector at t is equal to 3s that is v equal to dr by dt.
00:58
Therefore, we can write it as d by dt of t into t minus 1 of i plus d by dt of t square plus 1 into j.
01:21
Therefore, the velocity vector v becomes 2t minus 1 i plus 2t into j.
01:30
So, substituting t is equal to 3, we will get v of 3 as 2 into 3 minus 1 of i plus 2 into 3 of j which is equal to 5i plus 6j...