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$\because$ A rocket blasts off and moves straight upward from the launchpad with constant acceleration. After 2.8 s the rocket is at a heightof 91 $\mathrm{m}$ . (a) What are the magnitude and direction of the rocket'sacceleration? (b) What is its speed at this time?

(a) 23.2 $\mathrm{m} / \mathrm{sec}^{2}$(b) 65 $\mathrm{m} / \mathrm{sec}$

Physics 101 Mechanics

Chapter 2

One-Dimensional Kinematics

Motion Along a Straight Line

Rutgers, The State University of New Jersey

Simon Fraser University

University of Sheffield

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So in this problem, we have a rocket moving upwards, Uh, most into still oration. And the problem say's that after a time off, 2.8 seconds, he has ah, Hight School X. He has a height off nine. You want meters? Okay, so this is the information we have and the problem wants to know what was the magnitude off the acceleration. So we want to know what was, uh, acceleration. And what is the velocity at this moment? Okay, so and this problem, we're going to years to immigrations first aggression. It's going to be the position as a function of time zero plus zero t plus a T square divided by two. And the second creation is going to be the velocity as a function of time. Me, Chris is, you know, plus 80 why we're doing the speakers. We only have two informations about the problem. We have the position in the time. So if we want to discover the velocity, we need a recreation that has final velocity and has in half time. And we for one to discover acceleration. We have to use equation. They only needs the information. We haven't a problem That's why we using this equation first. So let's go. That's a silly question. So the first item we have to discover their celebration, so we're going to use the first creation acts. Eco's eggs eared of philosphy zero t well US 82 divided by two. So 91 is our height. Exterior is here because of the initial position v 00 because the initial velocity So we have acceleration times two point eight square divided by two. So the acceleration is going to be. It's seen its to the calculation. Here it's going to be 91 Pull us times two Divided by two point eight square. This is equals two 20 23 points 21 meters per second square. This is the celebration of the rocket and the second item it's going to be going to use the second Gration that is the e grows fee zero plus 80. So the final velocity it's just the acceleration that is 23 points 21 21 times two point eight seconds. So velocity is just 60 five meters per second. That's the final answer. Thanks for watching

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