A particle starts from rest at a fixed-point O and moves in a straight lie towards a

Question:

A particle starts from rest at a fixed-point O and moves in a straight lie towards a point A. The velocity, v ms^-1, of the particle, t seconds after leaving O, is given by v = 8 – 8e^-2t.

a. Find the acceleration of the particle when t = ln 5.

b. Given that the particle reaches A when t = 2 find the distance OA. 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 a point O and moves in a straight line so that its displacement, s cm, from O at time t seconds is given by s = 2t sin t/3. a. Find expression for velocity, v, and the...
A particle starts from rest at r(vector) 0 = 9.0 j m and moves in the xy-plane with the velocity shown in Figure P4.36. The particle passes through a wire hoop located at r(vector) 1 = 20i m, then...
The top shown is supported at the fixed point O and its moments of inertia about its axis of symmetry and about a transverse axis through O are denoted, respectively, by I and I??. (a) Show that the...
A bank reconciliation takes time and must balance. An employee was struggling in balancing the bank reconciliation. Her supervisor told her to plug (make an unsupported entry for) the difference,...
A sample of a bright blue mineral was weighed in air, then weighed again while suspended in water. An object is buoyed up by the mass of the fluid displaced by the object. In air, the mineral weighed...
Which instrument (one) of the Common Agricultural Policy of the European Union do you consider as the most effective from the point of view of farmers' interests and why?
A freelancer is an independent contractor with skills in a certain area, such as website design, search engine optimization, or marketing. Startups hire freelancers for two reasons. First, they fill...
Starbucks has worked hard to act ethically and responsibly. Has it done a good job communicating its efforts to consumers? Do consumers believe Starbucks is a responsible company? Why or why not?
4 16. The mean and variance of a binomial distribution area and respectively. If P(X = 1) = then P(X = 4 or 5) is equal to: 243 (a) 1/159 64 (b) $ 16 (c) 81 925 145 (d) 27 243 17. Let E1, E2, E3 be...
The Jurassic Classics has four employees on its sales team and uses a compensation that provides each person with a base salary of $40,000 per year and the opportunity to earn commission on sales....
A particle, moving in a straight line, passes through a fixed-point O. Its velocity vms -1 , t seconds after passing through O, is given by v = k cos 4t, where k is a positive constant. a. Find 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...
Airbus sold an A400 aircraft to Delta Airlines, a U.S. company, and billed $30 million payable in six months. Airbus is concerned about the euro proceeds from international sales and would like to...
Strong has loan of $1 million due at the end of the year. With the current strategy, the market value of its assets will is only $900,000, and as a result Strong will default on its debt. Strong...
Write MIPS assembly language program that calculates the sum of squares from 1 to n. For example, the sum of squares for n = 10 is: 12+22+10 = 385 The value of integer n is specified by the content...
As a new intern for the local branch office of a national brokerage firm, you are excited to get an assignment that allows you to use your accounting expertise. Your supervisor provides you with the...
At the beginning of Year 2, Better Corporation's accounting equation showed the following accounts and balances: BETTER CORPORATION Accounting Equation Assets Liabilities Stockholders' Equity Notes...
A certain state charges a 12 % tax rate on incomes up to $ 25 , 000 and 16 % on income beyond that. If Rachel makes $ 33 , 000 per year, how much income tax will she pay? Round your answer to the...
5-Methyl-1,3-cyclopentadiene rearranges to give a mixture of 5-methyl-1,3-cyclopentadiene, 1-methyl-1,3-cyclopentadiene, and 2-methyl-1,3-cyclopentadiene. Show how these products are formed.
United Business Forms capital structure is as follows: Debt ............................................ 35% Preferred stock ........................... 15 Common equity .......................... 50...
In 2017, Bear Corporation transfers 100 shares of its stock to its employee Patrick. The stock is valued at $10 per share on the issue date. The stock is subject to the following restrictions: ...
On February 15, 2018, Jamal, who is single and age 30, establishes a traditional IRA and contributes $5,500 to the account. Jamals adjusted gross income is $68,000 in 2017 and $57,000 in 2018. Jamal...
Chatham Mae is single, age 35, and wants to make a contribution to an IRA for the year ended December 31, 2017. She is an active participant in a qualified retirement plan sponsored by her employer....
How do I post this to the ledger It was a great month for sales, so CC Jen told you to go ahead and pay $2,500 of the amount owed to NMMC for inventory purchased on September 1 and all the amount...
6.1 Consider a clay layer drained at the top and bottom as shown in Figure 6.3a. For the case of constant initial excess pore water pressure (u; = 0) and T, = 0.4, determine the degree of...
All the following statements are correct statements regarding charitable contributions, except? A. Ordinary income property will always have a valuation limit as the lesser of FMV or basis. B. If the...

A particle starts from rest at a fixed-point O and moves in a straight lie towards a

Question:

Step by Step Answer:

a To find the acceleration of the particle at t ln5 we can use the formula f...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions