Problems 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, and 52 describe a situation. For each, draw a motion diagram, a force-identification diagram, and a free-body diagram. A rocket is being launched straight up. Air resistance is not negligible.

Video transcript

Welcome back, everyone. We are making observations about a space ship that is launched vertically upward that experiences significant air resistance. And we are tasked with making these following drawings. One or first, the motion diagram, two, the force identification diagram and then three, the free body diagram. Let's go ahead and start with part one here. What does the motion diagram consist of? Well, that's just going to be what your velocity vectors look like. So let's represent our rocket ship with a little dot here. Initially, it is going to have some sort of upwards velocity, right? We're just gonna name that V one. Now it's going to be accelerating as the rocket continues to go upwards. So the next velocity vector in the next second is going to be larger than that of V one. What this means is that we have a positive or upwards acceleration and this is going to be everything we need for our motion diagram. Now, what about four hour force identification diagram before this, I'm actually going to draw a little rocket ship here. So you have the top, you have the sides and you have the bottom thrusters here. Now what forces are going to be at play on our rocket ship. Well, for any object, you are going to have force due to gravity, right. But in the opposite direction, what you are going to have is you are going to have the force of the thrusters of the rocket ship. Now, we are told as well that the rocket ship experiences a pretty heavy amount of air resistance. So that means there's going to be a drag force acting against motion on the front of our ship. And all three of these forces are going to be our force identification diagram. Now, moving on to part three here, I'm now going to once again represent our rocket ship with a dot And we need to draw out our free body diagram. Let me go and set up our axis here. So we have the positive X axis to the right and the positive Y axis upwards. And here we are just going to look at all the forces in our force identification diagram and apply them to this dot Well, the one force that's acting upwards is going to be our thrust force and the two forces acting downward are going to be our force due to gravity and our force due to drag. So this right here is going to be our free body diagram. So we have found our motion diagram. We have drawn our force identification diagram and we drew our feed body diagram. So these three diagrams together constitute our final answer. Thank you all so much for watching. I hope this video helped. We will see you all in the next one.