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

Question:

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 the acceleration.

b. Find the distance travelled by the particle before it first comes to instantaneous rest. Give your answer correct to 3 sf.

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 accelerates as shown in Figure P2.12. Determine (a) The particles speed at t = 10.0 s and at t = 20.0 s, and (b) The distance traveled in the first 20.0 s.
The 40-lb block starts from rest and moves upward when constant forces of 10 lb and 20 lb are applied to supporting ropes. Neglecting the masses of the pulleys and the effect of friction, determine...
A 1200-kg airplane starts from rest and moves forward with a constant acceleration of magnitude 5.00 m/s2 along a runway that is250 m long. (a) How long does it take the plane to reach a speed of...
Nevada Department Stores is planning to sell its Spring Valley. Fernley, and Winchester stores. The firm expects to sell each of the three stores for the same, positive cash flow of SD. The firm...
You have a piece of gold jewelry weighing 9.35 g. Its volume is 0.654 cm3. Assume that the metal is an alloy (mixture) of gold and silver, which have densities of 19.3 g/cm3 and 10.5 g/cm3,...
Consider a project initiated in year 0 and ending in year 2. Investments in year 0 mean that the net benefit in period 0 is NB0 = 180. a. Assume first that the net benefits are 100 in year 1 and year...
Headspace is a mobile app that provides meditative and mindfulness lessons to people around the world. Founded in 2006 by Andy Puddi-combe, a former marketing executive and Buddhist monk, this firms...
1. In what ways does UTCs corporate- level strategy of unrelated diversification create value? 2. What are the dangers and disadvantages of this strategy? 3. Collect some recent information on UTC...
16. A signal containing multiple frequencies is shown in figure A. It is passed through 2 different filters and then outputs are shown in figure B & C. M (A) S (B) sha (C) (a) B corresponds to low...
The following selected transactions were taken from the records of Shipway Company for the first year of its operations ending December 31: Apr. 13. Wrote off account of Dean Sheppard, $8,450. May...
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...
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 = 50[e -2t e -4t ]. a. Find the time when the particle is...
Explain how the Generalized System of Preferences is in favor of developing countries.
2. Opponents of Richard Nixon, the thirty-seventh president of the United States, once raised doubts about his integrity by asking a single ruinous question: Would you buy a used car from this man?...
a) Describe what is EOQ. (2 marks) b) A product with annual demand of 2,700 units per year (300 days per work year) has annual holding costs equal to $27 and order costs of $235. (a) According to the...
How do those 5 assessments of personal development help you with your self-awareness (understanding Self)? How do those assessments of personal development help you when working with others that have...
Online Media Solutions is a marketing and web development business based in Melbourne, Australia. The business started in operations in 2015 and has seen exponential growth since its establishment....
Now that we have reached the end of our course, you will have the opportunity to create and name your version of leadership style, theory, or philosophy. As you create your leadership concept, take...
Give the product of the following reaction: If the terminal sp2 carbon of the substituent bonded to the benzene ring is labeled with 14C, where will the label be in the product? A
On the basis of the details of the following fixed asset account, indicate the items to be reported on the statement of cashflows: ACCOUNT Land ACCOUNT NO. Balance Date Item Debit Credit Debit Credit...
Bender Corporation grants a nonqualified stock option to Penny, an employee, on January 1, 2017, that entitled Penny to acquire 1,000 shares of Bender stock at $80 per share. On this date, the stock...
Dan and Cheryl are married, file a joint return, and have no children. Dan, age 45, is a pharmaceutical salesman and Cheryl, age 42, is a nurse at a local hospital. Dans SSN is 400-20-1000 and...
Robert is a sole proprietor who uses the calendar year as his tax year. On July 20, 2017 he acquired and placed in service a business machine, a 7-year asset, for $50,000. No other property was...
A magazine offers the following schedule of subscription prices: Length of Subscription 1 year 2 years 3 years Price $10 $19 $28 Assume you are certain that you want to receive the publication for...
If I save 15% of my $45,000 gross income for the next 22 years, how much money would I have saved?
1 April 30 Commissions revenue 15,350 Income summary 15,350 2 April 30 Income summary ? Insurance expense 130 Rent expense 2,900 Office supplies expense 1,000 Repairs expense 250 Telephone expense...

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

Question:

Step by Step Answer:

a The acceleration of the particle is given by ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions