Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Get the answer to your homework problem.
Try Numerade free for 7 days
Like
Report
A car makes a trip due north for three-fourths of the time and due south one-fourth of the time. The average northward velocity has a magnitude of $27 \mathrm{m} / \mathrm{s},$ and the average southward velocity has a magnitude of 17 $\mathrm{m} / \mathrm{s}$ . What is the average velocity (magnitude and direction) for the entire trip?
$v_{a v g .}=16 \mathrm{m} \cdot \mathrm{s}^{-1}$
Physics 101 Mechanics
Chapter 2
Kinematics in One Dimension
Motion Along a Straight Line
University of Washington
Simon Fraser University
University of Sheffield
Lectures
04:34
In physics, kinematics is …
07:57
In mathematics, a position…
02:18
You drive a car 1500 $\mat…
03:04
What are the direction and…
01:11
A car is traveling east at…
08:43
A car initially traveling …
05:38
A squirrel has $x$- and $y…
13:17
02:29
$\cdot$ A jet makes a land…
09:01
A car drives north at $40 …
12:46
A car travels three quarte…
04:02
A motorist drives south at…
06:52
Dan gets on Interstate Hig…
01:36
A bird flies straight nort…
03:07
03:13
A runner times his speed a…
03:30
$\cdot$ A car is traveling…
0:00
05:43
(I) A car is driven 215 $\…
02:07
A car moving westward alon…
09:14
(II) A car is moving with …
08:10
At one instant a bicyclist…
Okay. So in this problem we have a car that is travelling north with a velocity of 27 meters per second and it travels north for a while before it turns around and goes south at 17 meters per second. Which since south is the opposite direction, is going to be negative 17 meters per second. Now, in terms of what we know about the time, the only thing we know here is that this 27 meters per second was happening for 3/4 of the road trip. And this, uh, 17 meters per second south was only happening for 1/4 of the road trip. So in order to find the average velocity, I'm actually going to break this trip up average. I'm going to break this trip up, um, into four different pieces. So since the North Velocity was taking place for 3/4 of the trip, that 27 meters per second will get recorded three times, some adding the other my 1st 3 speeds, then that 17 meters per second is the last fourth. And to find the average, I divide by the quantity of numbers. And if I add all of those together and divide by four. We end up with positive 16 meters per second, meaning the average velocity of the car for the strip is 16 meters per second to the north.
View More Answers From This Book
Find Another Textbook
Numerade Educator
In physics, kinematics is the description of the motion of objects and syste…
In mathematics, a position is a point in space. The concept is abstracted fr…
04:47
GO In a mall, a shopper rides up an escalator between floors. At the top of …
02:40
Due to continental drift, the North American and European continents are dri…
03:58
The data in the following table describe the initial and final positions of …
09:45
In reaching her destination, a backpacker walks with an average velocity of …
02:03
The greatest height reported for a jump into an airbag is 99.4 $\mathrm{m}$ …
04:29
You are on a train that is traveling at 3.0 $\mathrm{m} / \mathrm{s}$ along …
02:17
In getting ready to slam-dunk the ball, a basketball player starts from rest…
03:41
The three-toed sloth is the slowest-moving land mammal. On the ground, the s…
02:41
SSM Two trees have perfectly straight trunks and are both growing perpendicu…
03:36
An Australian emu is running due north in a straight line at a speed of 13.0…
