A particle moves in a straight line such that its displacement, x m, from a fixed-point O

Question:

A particle moves in a straight line such that its displacement, x m, from a fixed-point O at time ts, is given by x = 3 + sin 2t, where t ≥ 0.

a. Find the velocity of the particle when t = 0.

b. Find the value of t when the particle is first at rest.

c. Find the distance travelled by the particle before it first comes to rest.

d. Find the acceleration of the particle when t = 3π/4.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Sep 06, 2021 03:09 AM

See More Questions

A particle moves in a straight line such that its displacement, s metres, from a fixed point O on the line at time t seconds is given by s = 9[ln(3t + 2)]. a. Find the value of t when the...
A particle moves in a straight line with a constant acceleration of ?2 m/s2 for 6 s, zero acceleration for the next 4 s, and a constant acceleration of +2 m/s2 for the next 4 s. Knowing that the...
A particle moves in a straight line so that its displacement from a fixed-point O, given by s = 2t + 2 cos 2t, where t is the time in seconds after the motion begins. a. Find the initial position of...
Westile Company buys plain ceramic tiles and prints different designs on them for souvenir and gift stores. It buys the tiles from a small company in Europe, so at all times it keeps on hand a stock...
How does the International System (SI) obtain units of different size from a given unit? How does the International System obtain units for all possible physical quantities from only seven base units?
What are the three categories of product cost in a manufacturing operation? Describe each element briefly.
Killing bacteria Expose marine bacteria to X-rays for time periods from 1 to 15 minutes. Here are the number of surviving bacteria (in hundreds) on a culture plate after each exposure time:21 Time t...
As of December 31, 2013, Post Company had total cash of $156,000, notes payable of $85,600, and common stock of $52,400. During 2014, Post earned $36,000 of cash revenue, paid $20,000 for cash...
Please discuss and elaborate of each of the components of the WACC model
During a recent management meeting, Steve Micke, director of marketing, proposed that the company begin capitalizing its marketing expenditures as goodwill . In his words, Marketing expenditures...
A body moves in a straight line so that, ts after passing through a fixed-point O, its displacement from O is s m. The velocity O is sm. The velocity v ms -1 is such that v = 5 cos 4t. a. Write down...
A particle, moving in a straight-line, passes through a fixed-point O. Its velocity v ms -1 , t seconds after passing through O, is given by v = 4e 2t + 2t. a. Find the acceleration of the particle...
Two-Stage ABC for Manufacturing (LO2) Detroit Foundry, a large manufacturer of heavy equipment components, has determined the following activity cost pools and cost driver levels for the year:...
Question 37 Plantito Inc., produces potted plants. For next year, Pietro predicts that 45,000 units will be produced, with the following total costs: Direct materials Direct labor ? 80,000 Variable...
When you are to design a data transmission system, you have two key considerations to work with: data rate and distance, with emphasis placed on achieving the highest data rates over the longest...
How much work does a supermarket checkout attendant do on a can of soup he pushes 0.600 m horizontally with a force of 5.00 N? Express your answer in joules and kilocalories. 3 . (a) Calculate the...
Suppose in its income statement for the year ended June 30, 2022, The Clorox Company reported the following condensed data (dollars in millions). Salaries and wages expenses$460 Research and...
Consider the extensive form game show in the figure below. How many strategies does Player 2 have in this game? (2,2,1) b (2,4,2) 03 by 03 02 dz (4.2,0) (2.0.2) (0.3.4) (3,5,3) (3,1,2)
The constructor for the CaesarCipher class in Code Fragment 5.11 can be implemented with a two-line body by building the forward and backward strings using a combination of the join method and an...
The following items were displayed in the statement of affairs for Lubbock Company: Fully secured liabilities ......... $90,000 Partially secured liabilities ....... 12,000 Unsecured liabilities...
Barbara was divorced two years ago. However, the final property settlement and determination of alimony payments was not made until February 2017 because of extended litigation. Barbara received a...
Lean Corporation was incorporated in 2011 by Bruce Smith, who has served as an officer and member of the Board of Directors. Carl Jones has served as the secretary-treasurer of the company as a...
Explain how committee reports can be used in tax research. What do they indicate?
Transcribed image text
QUESTION 20 Assume a company reported the following results Sales Net operating income Average operating assets Margin Turnover Return on investment (ROI) 5300,000 2 $240.000 40% ? 2 What is the net...
2. Using the graph provided below, determine the fixed cost, the total variable cost, the variable cost per unit, and the TOTAL COST to produce 60 units. Fixed Cost ______________ Variable Cost...

A particle moves in a straight line such that its displacement, x m, from a fixed-point O

Question:

Step by Step Answer:

a The velocity of the particle when t 0 is 2 cos 0 2 b The ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions