00:01
Hello, in this video we will be solving the question that we see on the screen where a ball is thrown with an initial speed of 25 miles per hour in a direction that makes an angle of 30 degrees with the positive x -axis.
00:11
And then finally, we have to express the velocity vector v in terms of its vertical and horizontal components.
00:16
So let's imagine that this line here, this represents our level ground or the positive x -axis.
00:24
And then our initial speed of 25, let's consider this to be 20.
00:30
25 miles per hour initial speed makes an angle of 30 degrees with this positive x -axis.
00:39
So what we need to find out is simply the vertical and horizontal components of this 25 miles per hour speed.
00:44
And that is going to be something like this.
00:46
This i'm going to draw this with red.
00:49
So let's imagine this is our vertical velocity and this is our horizontal velocity.
00:58
And to do that to find these we can simply use trigonometry.
01:02
We know that sign of any value is equal to opposite over hypotenuse.
01:10
We know that the cost of any value is equal to adjacent over hypotenuse.
01:17
And we finally know that the tan of any value is equal to the opposite over adjacent of any value.
01:25
So now that we have 30, so we can have our hypotenuse as 25.
01:32
It equals 25...