00:01
We would like to find our r vector.
00:03
Okay, so we're given our speed, which is 4 miles per hour, or 1 .78 meters per second in our eye direction.
00:14
We're given our time, and we know acceleration.
00:19
Our acceleration vector is going to be 0 .4 times cosine of 49 degrees, plus 0 .4 times sine of 49 degrees.
00:30
That's that angle that's given to us.
00:34
So 0 .4 times cosine of 49 degrees is equal to 0 .328 ihat plus 0 .4 times sine of 49 degrees is 0 .301.
00:52
0 .301 j hat.
00:56
And that's meters per second squared.
00:59
Now from our formula, r is equal to ut plus 1 half at squared.
01:06
So our vector is going to be equal to our acceleration, which is equal to 1 .78 times our time 3 .60 plus 1 half times 0 .328 plus 0 .301 times times 3 .60 squared.
01:35
So now let's plug this in, plug this into a calculator.
01:39
So, and this is ihat direction as well.
01:45
So in our ihat, we're going to have 1 .78 times 360.
01:52
And we also have 1 .5 times 0 .328 times 3 .60 squared...