00:01
So we have a stone thrown vertically on mars and it has the height of the stone given by s equals negative 6t squared plus 64t plus 192.
00:11
It wants us to determine the velocity.
00:14
Well, the velocity is the derivative of the distance.
00:17
So our velocity function is going to be the derivative of our position function, which i need to write correctly, which is going to be negative 12t plus 64.
00:28
So we want to know when does it reach its highest point.
00:33
So we want to see.
00:35
We can also find that by setting the derivative of t equal to zero.
00:41
So it'll be negative 12t plus 64.
00:44
Let's solve for t dividing by negative 12.
00:50
I'm going to go to my calculator now and see what that's going to be.
00:53
64, dividing that by that's going to be 5 and 1 3rd seconds.
00:59
Is when it's going to hit the ground or reach its highest point...