00:01
Hello students, in this question it is mentioned that circus is putting on a new act which involves launching someone out of a cannon, the human cannonball.
00:10
However, the cannon is mounted on top of a train.
00:13
So let this be the train.
00:21
So here a cannon is placed.
00:25
Let this be the cannon.
00:30
Now they plan to shoot a person out of the cannon from off the train and just before they land, a trapeze artist will swoop them down before he hit the train.
00:41
That is a person is launched so the person will be having a projectile motion and before he reaches the ground, he is being swooped by some other artist.
00:52
That is maybe this much is the only distance that he have to travel by this time.
00:59
He is being swooped by another artist.
01:04
So the ringmaster of the circus learns that you used a physicist and decides she wants you to do some calculations for the safety of the human cannonball.
01:18
So suppose this is the position of the person initially, that is y1 and let this be the final position of the person.
01:38
Suppose the motion is something like this.
01:41
This is the final position of this person in the x axis.
01:49
So now let us consider that the human cannonball here is leaving the train top.
01:55
This is an example of the projectile motion.
02:05
That means the clown accelerates at a rate of minus 9 .8 meter per second square vertically and moves at a constant speed horizontally.
02:20
So this will be the horizontal.
02:25
So this is the velocity of the person.
02:28
Then this will be v0 cos theta and this will be v0 sin theta.
02:41
So first the horizontal motion that is x direction and the vertical motion that is y direction are independent of each other...