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Faster than a speeding bullet! The Beretta Model 92$S$ (the standard-issue U.S. army pistol) has a barrel 127 $\mathrm{mm}$ long. The bullets leave this barrel with a muzzle velocity of 335 $\mathrm{m} / \mathrm{s}$ (a) What is the acceleration of the bullet while it is in the barrel, assuming it to be constant? Express your answer in $\mathrm{m} / \mathrm{s}^{2}$ and in $g^{\prime} \mathrm{s}$ . (b) For how long is the bullet in the barrel?

a) $4.418 \times 10^{5} \mathrm{m} / \mathrm{s}^{2}$$ 4.51 \times 10^{4} \mathrm{g}$b) $75.826 \times 10^{-5} \mathrm{s}$$=0.758 \mathrm{ms}$

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

University of Washington

Hope College

University of Winnipeg

McMaster University

Lectures

03:28

Newton's Laws of Moti…

04:16

In mathematics, a proof is…

00:48

Additional ProblemsThe…

05:53

Certain rifles can fire a …

02:11

A Speeding Bullet The fast…

00:54

A rifle has a mass of $4.5…

06:15

A rifle shoots a 4.20 g bu…

07:12

The speed of a bullet as i…

04:46

01:20

A 5.0-g bullet leaves the …

00:39

A bullet in a gun is accel…

01:55

01:27

ssm A 15 -g bullet is fire…

03:44

Finding muzzle speed Find …

02:08

A 12 -g bullet leaves a ri…

01:56

A 12-g bullet leaves a rif…

04:04

Gun sights are adjusted to…

01:46

A 0.11 -g bullet leaves a …

01:40

A bullet is accelerated do…

02:54

Speeding Bullet A bullet f…

01:50

Military rifles have a mec…

14:09

Speeding bullet $A$ 45-cal…

Let's assume that on the bullet is moving in the positive ex direction, which is to earth right on DH. We know that initial velocity of the bullet CEO. It starts from the allegiance X, not a CDO three X is given toe to 35 meter per second on the distance traveled on the little Sierra point 1 27 Do now to find the acceleration first the minute you're choosing question ah which involves all off the perimeters that for which the values we only have. So this question will be perfect for that. Since we don't have time off travel, you cannot use ah question which involves time because of the ways we need to find the time first. And then, uh, you lose time in one off the other questions to find acceleration. So this equation is a lot simpler. Good news. The song this is in the value's off The perimeters were given on They get acceleration Topi a full point for two dyin standard 55 It was second sky Now, in terms ofthe acceleration due to gravity, we know that gene is equal to 9.8 meters per second squared. So we need to divide it to write down certain times. Lt right. The get this value to be 4.51 and stand in the past 40 on the second body, we will use the X you called So we not explore s extinct this equation to solve for time, Cityville, we're going to do Lex minus not ex. Over a X between the equal door, 2 35 meters per second. We not existent simply serial because it starts worker Sita velocity. It starts from rest Now lose the value of acceleration that we found in the four Spark I really lose dis a question. Sorry, this value. So yeah, Food point food two times into the part five make up a second sky, we solve it and we get the fine the equal to cedar point 75 8,000,000 tickets. Now you see that the acceleration is very large, compared tto acceleration to the gravity on this equation. So in part to be over here, let me just write down your solution. So, for part B, uh, we could also use X minus X notto be equal toe average velocity, which is the average off the initial and final velocity. So we express We know x over too time, Steve. And this would have given us Toby Quinto price off X minus X not over the X because we're not exes. Edo This is a photo to ex over the eggs. Uh, solving it, you'd have got timeto city off point 75 late milliseconds, so you would have got the state answer. As you have got over here, if you have used the secretion on this is only applicable than acceleration, it's very, very greater than acceleration of gravity. As for the skin

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