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...
Pappys Potato has come up with a new product, the Potato Pet (they are freeze-dried to last longer). Pappys paid $120,000 for a marketing survey to determine the viability of the product. It is felt...
Weeds among the corn Velvetleaf is a particularly annoying weed in cornfields. It produces lots of seeds, and the seeds wait in the soil for years until conditions are right for sprouting. How many...
Drab Corporation just obtained exclusive rights to a new revolutionary fertilizer that is sure to be an instant success in the gardening industry. Unfortunately, Drab does not control the capital to...
ABC Company variable cost are 45% of sales. The company is contemplating an advertising campaing that will cost $41,000 If sales are expected to increase $95,000 by how much will the company's net...
You are a financial planning consultant with an Oklahoma Life, Accident, and Health Insurance license. A client has approached you for advice on an insurance program. The clients existing insurance...
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...
Suppose Ollah decides to order 200 bags at a time. What would the total ordering and holding costs for the year be? (For this problem, don't consider safety stock when calculating holding costs.)
the assessment include developing gantt chart, work breakdown structure and and all task 3 are related to its respective task 2. all the instructions are given in the assignment itself. Assessment...
Mens heights are normally distributed with mean 68.6in. and standard deviation 2.8in. Air Force Pilots The U.S. Air Force required that pilots have heights between 64 in. and 77 in. Find the...
Swain Athletic Gear (SAG) operates six retail outlets in a large Midwest city. One is in the center of the city on Cornwall Street and the others are scattered around the perimeter of the city....
ACC1810 - PRINCIPLES OF FINANCIAL ACCOUNTING Project 11: Chapter 11 - Stockholders' Equity Part B: Financial Statements The accounts of Rehearsal Corporation are listed along with their adjusted...
Match the term to the description. Outcome evaluation Focuses on the accomplishments and impact of a service, program, or policy and its effectiveness in attaining its outcomes set prior to...
Give a schematic figure, in the style of Figure 11.13, showing the heights of subtrees during a deletion operation in an AVL tree that triggers a trinode restructuring for the case in which the two...
Refer to the data in QS 10-1. Based on financial considerations alone, should Helix accept this order at the special price? Explain.
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....
Production numbers for 2 shifts are shown. The shift supervisor of Shift 2 insists to the production manager that her operators are more productive than the ones on Shift 1. Using a confidence level...
In a class, the scores that students got are as shown. What are the 25, 50, 75 and 100th percentiles for the data? 84 84 98 80 89 83 85 56 85 84 84 74 84 81 83 80 45 86 67 79 81 78 76 85 83 77 86 83...
Number of points made by Teams A and B are shown. Which statement is true based on running the F-Test Two-Sample for Variances in the Data Analysis pack in Excel? Use a confidence level of 10% to...

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