6. A car is headed into town along a straight highway (x-0m is the center of town), and its position is given by the following equation. x(t)- 300 – 120t+20 a) What do the 300, -120 and 20 mean in the above equation? b) Using the derivative method find the equation for the velocity of the particle. c) Using the derivative method find the equation for the acceleration of the particle. d) At what time will the car come to rest? e) Has the car reached the center of town at that time? If not how far away is it?

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter2: Kinematics
Section: Chapter Questions
Problem 21CQ: An object that is thrown straight up falls back to Earth. This is one-dimensional motion. (a) When...
icon
Related questions
icon
Concept explainers
Topic Video
Question

(a) and (b) already answered.

(a):

300 is position of car at t=0 

-120 shows velocity

20 shows acceleration

(b): v = -120 + 40t

 

Need help answering (c), (d), (e).

 

6. A car is headed into town along a straight highway (x-0m is the center of town), and its
position is given by the following equation.
x(t)= 300 – 120t + 2012
a) What do the 300, -120 and 20 mean in the above equation?
b) Using the derivative method find the equation for the velocity of the particle.
c) Using the derivative method find the equation for the acceleration of the particle.
d) At what time will the car come to rest?
e) Has the car reached the center of town at that time? If not how far away is it?
Transcribed Image Text:6. A car is headed into town along a straight highway (x-0m is the center of town), and its position is given by the following equation. x(t)= 300 – 120t + 2012 a) What do the 300, -120 and 20 mean in the above equation? b) Using the derivative method find the equation for the velocity of the particle. c) Using the derivative method find the equation for the acceleration of the particle. d) At what time will the car come to rest? e) Has the car reached the center of town at that time? If not how far away is it?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
An Introduction to Physical Science
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning
Inquiry into Physics
Inquiry into Physics
Physics
ISBN:
9781337515863
Author:
Ostdiek
Publisher:
Cengage