A particle starts from rest and moves in a straight-line so that, t seconds after leaving a

Question:

A particle starts from rest and moves in a straight-line so that, t seconds after leaving a fixed-point O, its displacement, s metres, is given by s = 2 – 2 cos 2t.

a. Find an expression for the velocity and the acceleration of the particle in terms of t.

b. Find the time when the particle first comes to rest and its distance from O at this instant.

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 03:08 AM

See More Questions

A particle starts from rest and moves in a straight line so that t seconds after passing through a fixed-point P, its velocity v ms-1, is given by v = 5(1 e -t ). a. Find the velocity of the...
A particle starts from rest and moves in a straight line so that, that t seconds after leaving a fixed-point O, its velocity, v ms -1 , is given by v = 3 + 6 cos 2t. a. Find the range of values for...
A particle moves in a straight line so that t seconds after passing through a fixed-point O, its acceleration, a ms -2 . Is given by a = pt + q, where p and q are constants. The particle passes...
JOB SHEETS: Job cost sheets for each of the ten jobs appear on this sheet. Additionally, a combo box for each job (ten combo boxes total) appears for each job. Further, on this sheet, a check box...
A weather balloon filled with helium has a diameter of 3.00 ft. What is the mass in grams of the helium in the balloon at 21oC and normal pressure? The density of helium under these conditions is...
1. Select any two integers between -12 and +12 which will become solutions to a system of two equations. 2. Write two equations that have your two integers as solutions. Show how you built the...
Ludvig Ahlquist, who has considerable experience in the home security industry, is planning to launch a new line of home security alarms that he believes would be superior to other products in the...
Refer to the worksheets in Exhibits 10.12 and 10.13 in which the financial statements of Arcot Company have been restated to U.S. GAAP . Required: a. Calculate each of the ratios listed below using...
5. Identify the type of each of the following reactions stating reason for your answers: (a) Fe2O3 + 2Al 6. Al2O3 + 2Fe + heat (b) Pb(NO3)2 + 2KI PbI2 + 2KNO heat (c) ZnCOg ZnO + CO2 In the...
A survey of the number of phone calls made by a sample of 16 Verizon subscribers last week revealed the following information. Develop a stem-and-leaf chart. How many calls did a typical subscriber...
A particle moving in a straight line passes a fixed-point O with velocity 18 ms -1 . Its acceleration a ms -2 , t seconds after passing through O is given by a = 3t 12. a. Find the values of t when...
A particle is moving in a straight line such that its velocity, v ms -1 , t seconds after passing a fixed-point O is v = e 2t 6e -2t 1. i. Find an expression for the displacement, sm, from O of the...
According to the CBOs low estimates (Table 11.2), how many jobs were created by the 2009 fiscal stimulus package in (a) 2009? (b) 2010? (c) 2011? (d) 2012? (e) 2013?
A portfolio manager is contemplating an investment in the Alpha Company and needs an equity risk premium estimate. The analyst recommending Alpha knows that the average yield to maturity on Alpha's...
From the financial standpoint what impact would scholarships on student education? Explain
A student purchases a used economics textbook for $50 but was willing to pay $100 for it. If the new text costs $130, the student's consumer surplus is
Your factory has been offered a contract to produce a part for a new printer. The contract would last for 3 years and your cash flows from the contract would be $5.06 million per year. Your upfront...
A company that earns $8,000 per year has an asset that can be declined by the DDB method. The initial cost of the asset is $10,000; and its salvage value is $1,500 after 4 years. Note that the book...
Explain why when propylene oxide undergoes anionic polymerization, nucleophilic attack occurs at the less substituted carbon of the epoxide, but when it undergoes cationic polymerization,...
An item of depreciable machinery was acquired on 1 July 2009 for $120,000 by cash It is expected to have a useful life of 10 years and zero salvage value On 1 July 2012, it was decided to revalue the...
Tampa Corporation sold the following assets in 2017: a. What is the depreciation deduction for each asset in 2017? b. Compute the gain or loss on each asset sold. Original Cost Depreciation/ Recovery...
In 2017, Richmond Corporation purchases and places into service a used machine. Richmond elects Sec. 179 expensing for $510,000 of its $610,000 cost. The machine has a 7-year MACRS recovery period....
In 2017, Wabash Corporation purchases two assets and places them into service (both are used property and have a 7-year MACRS recovery period): Asset #1: $1,300,000 cost; placed in service in...
A-grade Tax Service prepares taxes for individual, and offers two alternatives for its clients: Standard Deduction and Itemized Deduction. The owner, Dianne, provides the following information about...
Elaborate on the branches of civil engineering 1. Water Resources Engineering 2. Transportation Engineering 3. Environmental Engineering
5) A. (5 points) A roadway with a rough-asphalt pavement has a cross slope of 2.5%, a longitudinal slope of 1.5%, a curb height of 15 cm, and a 90-cm-wide concrete gutter. If the flow rate is 0.09...

A particle starts from rest and moves in a straight-line so that, t seconds after leaving a

Question:

Step by Step Answer:

a The displacement function is given by s 2 2 cos 2t Taking the derivative of the displacement funct...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions