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A brick is released with no initial speed from the roof of a building and strikes the ground in 2.50 s, encountering no appreciable air drag. (a) How tall, in meters, is the building? (b) How fast is the brick moving just before it reaches the ground? (c) Sketch graphs of this falling brick's acceleration, velocity, and vertical position as functions of time.

a) 30.6 $\mathrm{m}$b) 24.5 $\mathrm{m} / \mathrm{s}$c) See Graph

Physics 101 Mechanics

Chapter 2

Motion along a Straight Line

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Cornell University

Rutgers, The State University of New Jersey

University of Washington

Hope College

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So this problem involves vertical motion. So for this specific problem, that steak was it there? Right to be down one. This means that acceleration. Then be positive. 9.8 minute of the second Scared. Now we're giving that it starts song list. So initial velocity CEO time has given Toby to find five seconds. So for the first part, we have to find the, uh the height off the vending. So basically a distance by which the brick falls that will give us the height after been licked on. We have to find this pattern. So we need to pick any question that involves on Lee these perimeters. So this a question? Yes. Ideal for that on the scapes. So this jungle's too cedo on. We have my minus. Why not? Which is equal to height off the building to be equal to half a light. Describe we solve this using the values we have, we have. So this gives high doctor bending Toby 30.6 meters. This means that the building is 13.6 meter dawg. Now, for the second part, we have to find the final velocity V y. So we need to pick a question that involves V Y on the wrist off the perimeters that we had given. So we lose this equation right here and this gifts, we might be a light. I'm steam. And this gifts velocity the final velocity, Toby. 24.5 meters per second. This means that just before the break is about to hit the ground. The velocity of the break is 24.5 meters per second. Now for the top spot going to draw graphs. So next stake. Why tow this Edo at the ground? This makes sense because ah, why, Linus? Why not? Is it Andi? Uh, this is downloaded. So we need to take y 20 and line out of the height. Because why? And this is why not? And necessarily So So this is why. And this is why not. As you can see, why is Siegel and why not? It's the height off the building now. Therefore, we take my two basi like the ground just jam a med. Yeah. Now s O. Since we know that acceleration is gone, stand on the sequel Positive. 9.8 minutes of a second. So this will be the blood. It should be a straight line in the positive in the first quarter. If if. Why? It's taken to the if Flat Once it is taken to the board, then acceleration would have been negative 9.8 meters per second. Because this points gravity points downwards. So should point now in the negative i xx and therefore the negative sign for that. Guests, our lord would have looked like like this So a straight line. But in the negative, my exes. So for this case, to assist a glove now for velocity worse this time. So we know that slope off the velocity is a constant. This is only possible when velocity was this time is a linear plot have been dried in green. Okay. Yeah. Now for the blood off live minus lie. Not with time. Let's speak this a question right here which simplifies to this equation this mean stand now Why minus lie not is quite genetic that on the time on DH why is goingto be Siegel now? This means that why minus one And despite a ticking he saw this plot will be some Now, this will be somewhat like this. Yeah, Andi is at the origin, so this tree and the blood's for acceleration, velocity and distance Ah, in vertical direction, respectively.

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