Chapter 2, Problem 36P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A record of travel along a straight path is as follows:1. Start from rest with a constant acceleration of 2.77 m/s2 for 15.0 s.2. Maintain a constant velocity for the next. 2.05 min.3. Apply a constant negative acceleration of −9.47 m/s2 for 4.39 s.(a) What was the total displacement for the trip?(b) What were the average speeds for legs 1, 2, and 3 of the trip, as well as for the complete trip? trip, as well as for the complete trip?

(a)

To determine
The total displacement.

Explanation

Given Info: The initial velocity is 0 , the acceleration is 2.77â€‰m/s2 , the time is 15.0â€‰s , the constant velocity duration is 2.05â€‰min , and time period for negative acceleration is 4.39â€‰s .

Explanation:

The formula used to calculate the displacement is,

Î”x1=v0t+12at2

Here,

Î”x1 is the displacement

v0 is the initial velocity

a is the acceleration

t is time

Substitute 0 for v0 , 2.77â€‰m/s2 for a , and 15.0â€‰s for t to find Î”x1 .

Î”x1=(0)(15.0â€‰s)+12(2.77â€‰m/s2)(15.0â€‰s)2=312â€‰m

Thus, displacement at the first section is 312â€‰m .

The formula used to calculate the final velocity is,

v=v0+at

Here,

v is the final velocity

Substitute 0 for v0 , 2.77â€‰m/s2 for a , and 15.0â€‰s for t to find v .

v=(0)+(2.77â€‰m/s2)(15.0â€‰s)=41.6â€‰m/s

Thus, final velocity at the first section is 41.6â€‰m/s .

The formula used to calculate the displacement is,

Î”x2=vt1

Here,

Î”x2 is the displacement

v is the velocity

t1 is time

Substitute 41.6â€‰m/s for v and 2.05â€‰min for t1 to find Î”x2 .

Î”x2=(41.6â€‰m/s)((2.05â€‰min)(60â€‰s1â€‰min))=5

(b)

To determine
The average speeds for legs 1, 2, and 3 of the trip as well as complete trip.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started