Question: Consider the velocity function shown below of an object moving along a line. Assume time is measured in seconds and distance is measured in meters.

Consider the velocity function shown below of an object moving along a line. Assume time is measured in seconds and distance is measured in meters. The areas of four regions bounded by the velocity curve and the t-axis are also given.

14 + /6 3 5 10 20

a. On what intervals is the object moving in the negative direction?

b. What is the displacement of the object over the interval [2, 6]?
c. How far does the object travel over the interval [0, 6]?
d. What is the displacement of the object over the interval [0, 8]?
e. Describe the position of the object relative to its initial position after 8 hours.

14 + /6 3 5 10 20

Step by Step Solution

★★★★★

3.18 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The velocity is negative for 0 t 2 and for 4 t 6 so the object ... 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

Students Have Also Explored These Related Calculus Early Transcendentals Questions!

Consider the velocity function for an object moving along a line (see figure). a. Describe the motion of the object over the interval [0, 6]. b. Use geometry to find the displacement of the object...

The velocity in ft/s of an object moving along a line is given by v = 3t 2 + 1 on the interval 0 t 4. a. Divide the interval [0, 4] into n = 4 subintervals, [0, 1], [1, 2], [2, 3], and [3, 4]. On...

Consider the graph shown in the gure, which gives the velocity of an object moving along a line, Assume time is a. On what intervals is the object moving in the positive direction? measured in hours...

Consider the graph shown in the figure which gives the velocity of an object moving along a line Assume time is measured in hours and distance is measured in miles The areas of three regions bounded...

Consider the graph shown in the figure, which gives the velocity of an object moving along a line. Assume time is measured in hours and distance is measured in miles. The areas of three regions...

Can someone please explain it to me ASAP?!!! For part a I did was wrong. Could you please tell me the correct answer. This is velocity and net changes ider the graph shown in the figure, which gives...

Answer the following questions for 1,3,5-hexatriene, the conjugated triene containing six carbons. 1) Which p molecular orbitals belong in the following categories? Select all that apply A) Bonding:...

The third file is for a client named Alexei. Alexei took out a personal loan exactly one year ago with Harrison Bank. From his file, you have noted the following information: Original loan amount:...

A seven - year, annual payment corporate bond has a required return of 6 . 5 percent and a 5 percent coupon. Its market value is $ 3 0 over its present value. What is the bond's expected rate of...

14-7 Find three examples of advertisements that incorporate socially responsible marketing in the message. Some companies are criticised for exploiting social issues or organisations by promoting...

A contour map of a function is shown. Use it to make a rough sketch of the graph of f . y. 5 4 3 2 3. 2

Use implicit differentiation to find z/x and z/y. e z = xyz

A contour map of a function is shown. Use it to make a rough sketch of the graph of f . -8 -6 -9- -4

A poll found that 35% of adults do not work at all while on summer vacation. In a random sample of 5 adults, let x represent the number who do not work during summer vacation. Complete parts a...

The financial statement which summarizes operating, investing, and financing activities of an entity for a period of time is the a. retained earnings statement. b. income statement. c. statement of...

A marketing manager for a cell phone company claims that the percentage of children aged 8- 12 who have cell phones differs from 55%. In a survey of 880 children aged 8-12 by a national consumers...