The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end of a spring is h(t) 8 cos(12t) (a) Calculate the mass 's average velocity over the time intervals 0, 0 1 and 3, 3 5 (b) Estimate its instantaneous velocity at t 3

Question: The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end of a spring is h(t) = 8 cos(12t).

The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end of a spring is h(t) = 8 cos(12πt).
(a) Calculate the mass's average velocity over the time intervals [0, 0.1] and [3, 3.5].
(b) Estimate its instantaneous velocity at t = 3.

Step by Step Solution

★★★★★

3.31 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The average velocity over the time interval ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

931-C-L-D (1859).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

The speed at which water travels in a pipe can be measured by directing the flow through an elbow and measuring the height to which it spurts out the top. If the elbow height is 10 cm, the equation...

The table shows the heights and weights of some people. The scatterplot shows that the association is linear enough to proceed. Height (inches) Weight (pounds) 60 ..............105 66...

The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end of a spring is h(t) = 3sin (2nt). Estimate its instantaneous velocity at t = 5 (Clive your answer to four...

The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end of a spring is h(t) = 3 sin(2t). Estimate its instantaneous velocity at t = 4.

The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end of a spring is h(t) = 9sin(2t). Estimate its instantaneous velocity at t = 4 (Give your answer to four...

The height ( in centimeters ) at time t ( in seconds ) of a small mass oscillating at the end of a spring is h ( t ) = 8 sin ( 2 t ) . Estimate its instantaneous velocity at t = 7 ( Give your answer...

this assignment calls for the use of MATLAB 2017B.Vhere is the assignment i am having trouble with, if anyone experienced with matlab can help me out that would be great. i would prefer if you do not...

Can you please help me with the flowing problems. Thanks so much! :) Section 3.4: 21, 27, 36, 39, 44 160 CHAPTER 3 DIFFERENTIATION Exercises 12 and 13 refer to the data in Example 1. Approximate the...

In Exercises 1 - 16, plot the point given in polar coordinates and then give three different expressions for the point such that (a) r 0 and 0 (c) r > 0 and 2 9. (20, 3) In...

A ferromagnetic core is shown. Three sides of this core are of uniform width, while the fourth side is somewhat thinner. The depth of the core (into the page) is 10cm, and the other dimensions are...

You have just become friends with an exchange student from Switzerland. Your friend is very interested in Nestle as a company. Your friend is not a business major and has asked for your help to learn...

Discuss the survey method in detail.

Study the Minitab output below. Determine whether there are any signifi cant eff ects and discuss the results. What kind of design was used and what was the size of it? Two-Way Analysis of Variance...

f(x) = 2x + 3 and g(x) = 3x - 5. Find the compositions of the given functions. Which pairs of functions commute?

f(x) = 2x + 3 and h(x) = -3x - 12. Find the compositions of the given functions. Which pairs of functions commute?

F(x) = x2 + 1 and G(x) = x + l. Find the compositions of the given functions. Which pairs of functions commute?

Statistical report help needed. Feedback given on report as followed. Why is the t-test appropriate? Provide a little more detail. Also, what assumptions do you make about this data, and what happens...

1 Gateway Reproductions uses sheet steel to manufacture reproduction fenders for classic automobiles. The firm's risk profile with regard to sheet steel will be downward-sloping. True or False True...

Mr. Huskers Tuxedos Corp. began the year 2015 with $272 million in retained earnings. The firm earned net income of $41 million in 2015 and paid dividends of $8 million to its preferred stockholders...