00:01
All right.
00:02
So in the following problem, we have been given a situation where you have this person standing on top of a hill over here.
00:14
And what they do basically is hit a golf ball all the way onto over here, onto the surface.
00:22
So this is the surface of venus.
00:25
And the people doing the experiment for this, you know, collected some data.
00:33
And we have been given t versus the height of t, basically the values of time versus the height at a particular time.
00:47
And we have been told that in the first part, we have been asked to use a quadratic regression feature.
00:55
So this is the quadratic regression.
00:58
Regression if you um i'm going to write it as a t square sorry let's just mention it as x so a x1 square plus px1 plus c i got this through desmos and r square value is one so for the given data our model would look something like this that the height of t is minus 15 t square plus 70 plus 43.
01:39
This is our original quadratic equation model.
01:43
So based on our model, we're supposed to determine how high is the hill from which the golf was hit.
01:52
So interestingly, the data that has been given to us assumes that this person is standing on a hill and then hitting the golf ball.
02:04
So if we do eight, of 0 that is the you know the height before the ball is released you end up getting that age of 0 is 43 and this is the height of the hill right so he has to be standing on a hill of a height 43 feet which i'll update over here on the diagram uh in part c we have been asked to use our model to estimate how long the golf ball will take to reach its maximum height and what the maximum height would actually be.
02:45
So for that, you have to find where the velocity of the ball is zero...