The position of a particle at time t is s(t) = 2t 3 . Compute the average

Question:

The position of a particle at time t is s(t) = 2t³. Compute the average velocity over the time interval [2, 4] and estimate the instantaneous velocity at t = 2.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Oct 28, 2023 04:59 AM

See More Questions

The position of a particle as a function of time is given by x = (2.0 m/s) t + (-3.0 m/s3)t3. (a) Plot x versus t for time from t = 0 to t = 1.0 s. (b) Find the average velocity of the particle from...
The position of a particle between t = 0 and t = 2.00 s is given by x(t) = (3.00m/S3)t3 - (10.0m/s2 )t2 + (9.00m/s)t. (a) Draw the x-t, v.-t, and az-f graphs of this particle. (b) At what time(s)...
The position s of a car at time t is given in the following table. (a) Find the average velocity over the interval 0 t 0.2. (b) Find the average velocity over the interval 0.2 t 0.4. (c) Use the...
Is an isothermal process necessarily internally reversible? Explain your answer with an example.
Base plc acquired 60% of the common shares of Ball plc on 1 January 20X0 and gained control. At that date the statements of financial position of the two companies were as follows: Note: The fair...
In a 2016 survey, Americans were asked to name their favorite actor. The most often mentioned living actors are shown below along with their ages in 2016. (John Wayne was number 4 in the list, but we...
Estimate the energy required for an average person (see Fig. 9.32) to run a mile in 4 minutes in still standard air. Compare your estimate if you instead modeled the person as a cylinder \(6...
During the first full week of 2018, the Payroll Department of Quigley Corporation is preparing the Forms W-2 for distribution to its employees along with their payroll checks on January 5. In this...
In order for a business to control costs, it must first identify the costs that can be incurred and the nature of these costs. It is critical that managers are able to identify what causes costs, as...
Estimate the slope of the tangent line at the point indicated. y(x) = 1 x + 2 x = 2
Estimate the slope of the tangent line at the point indicated. f(x) = tan x; X = 4
What is the post-purchase stage? And how significant is it in marketing strategies?
How would you advise SMEs on implementing strategies abroad?
What is Porter and Kramers concept of shared value? Provide examples of how a company striving to become more sustainable can create shared value.
What role does technology play in a networked structure?
What considerations should managers take into account when designing control systems for global operations?
An important part of MNCs demonstrating social responsibility is investing in emerging and frontier markets. What are some examples of social responsibility?
1. What dimensions contribute to the differences between how Americans and Japanese workers address management problems, including operational or product flaws? 2. What are some ways that Japanese...
The diagram shows the two forces acting on a small object. Which of the following is the resultant force on the object? A. 8 N downwards B. 8 N upwards C. 2 N downwards D. 2 N upwards 3 N 5 N
A: Suppose a firm employs labor and capital k to produce output x using a homothetic, decreasing returns to scale technology. (a) Suppose that, at the current wage w, rental rate r and output price...
We have said that economic profit is equal to economic revenue minus economic costwhere cash inflows or outflows are not real economic revenues or costs unless they are in fact impacted by the...
Consider again the two ways in which we can view the producers profit maximization problem. A: Suppose a homoethetic production technology involves two inputs, labor and capital, and that its...
The demand for the new Christian Paboutin shoes can be written as a function of its selling team of the shoe company estimates that there is a base demand for 430000 shoes (mean will buy the shoes if...
Why was opening trade with China permanently different from other trade agreements? What were its positive and negative impacts on the US?
SportsWorld purchased equipment costing $10,000. The equipment has a residual value of $1,000, and an estimated useful life of 5 years or 36,000 shoes. Actual units produced during the year were...

The position of a particle at time t is s(t) = 2t 3 . Compute the average

Question:

Step by Step Answer:

The average velocity over the time interval 2 4 is s4 s2 42 128 ...View the full answer

Calculus

Students also viewed these Mathematics questions