00:01
So we have a projectile fired upward from ground level.
00:07
And we're going to be working in feet.
00:09
So that's negative 16t squared.
00:14
The initial velocity is 208.
00:16
So that's going to be plus 208t.
00:20
And then h sub 0 is going to just be zero because we're starting at the ground.
00:26
In a, i want to know how long it will take the projectile to hit the ground.
00:32
So i'm going to set my position function equal to zero.
00:42
I'm going to factor that and take out a negative 16t.
00:47
That will give me t minus 13.
00:50
So t is zero and 13.
00:53
So that tells me that this object is on the ground at time zero and then again at 13 seconds.
01:01
So it's going to take 13 seconds for that object to hit the ground.
01:11
In b, i want to know what is maximum height.
01:17
So maximum height happens.
01:19
If you think about what the graph of this looks like, it's just a downward opening parabola.
01:25
Here's time and here's height.
01:27
So max height is going to happen at the vertex...