The position (in meters) at time t (in seconds) of a particle that moves along a straight line is given by the function s(t). The first derivative of s(t) is called the velocity, d denoted by v(t); that is, the velocity is the rate of change of the position. The rate of change of the velocity is called acceleration, denoted by a(t); that is, v(t) = a(t). Given that v(t) = s'(t), it follows that , s(t) = a(t). Find the velocity and the acceleration at time t = 4 s for the position function s(t) = - 4t.
The position (in meters) at time t (in seconds) of a particle that moves along a straight line is given by the function s(t). The first derivative of s(t) is called the velocity, d denoted by v(t); that is, the velocity is the rate of change of the position. The rate of change of the velocity is called acceleration, denoted by a(t); that is, v(t) = a(t). Given that v(t) = s'(t), it follows that , s(t) = a(t). Find the velocity and the acceleration at time t = 4 s for the position function s(t) = - 4t.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
1-
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning