At 12:00 hours, a tanker sails from a point P with position vector (5i + 12j) km

Question:

At 12:00 hours, a tanker sails from a point P with position vector (5i + 12j) km relative to an origin O. The tanker sails south-east with a speed of 12√2 km h^-1.

a. Find the velocity vector of the tanker.

b. Find the position vector of the tanker at

i. 14:00 hours

ii. 12:45 hours.

c. Find the position vector of the tanker t hours after leaving P.

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 02, 2021 12:39 AM

See More Questions

A helicopter flies from a point P with position vector (50i + 100j) km to a point Q. The helicopter flies with a constant velocity of (30i 40j) km h -1 and takes 2.5 hours to complete the journey....
A particle starts at a point P with position vector (-20i + 60j)m relative to an origin O. The particle travels with velocity (12i 16j) ms -1 . a. Find the speed of the particle. b. Find the position...
Relative to an origin O, the position vector of P is 2i 4j and the position vector of Q is 8i + 20j. a. Find PQ(vector). b. Find ||PQ(vector)|. c. Find the unit vector in the direction of...
Write a static method that takes a domain name as its argument and returns the reverse domain name (reverse the order of the strings between periods). For example, the reverse domain name of...
Manganese metal can be obtained by reaction of manganese dioxide with aluminum. 4Al(s) + 3MnO2(s) 2Al2O3(s) + 3Mn(s) What is H for this reaction? Use the following data: 2Al(s) +-O2(g)--A1203(s); ...
Sam Yu wants to measure customer satisfaction within his region. Link an appropriate performance measure with each balanced scorecard perspective. Customer Satisfaction 1. Financial (investors) 2....
In past exercises, weve analyzed the effect of respondents education on concern about her job, finding that more educated people have less concern than less educated people. Could this relationship...
Ten major college football bowl games were played in January 2010, with the University of Alabama beating the University of Texas 37 to 21 to become the national champion of college football. The...
Inventory records for Herb's Chemicals revealed the following: March 1, 2021, inventory: 1,000 gallons @ $7.20 per gallon = $7,200 = Purchases: Mar. 10 Mar. 16 Mar. 23 600 Gals 800 Gals 600 Gals @ @...
Worldwide United Corporation (WUC), a U.S. taxpayer, manufactures and sells products through a network of foreign branches and wholly- owned foreign subsidiaries. Relevant information for these...
OA(vector) = a, OB(vector) = b and O is the origin. OX = OA(vector) and OY(vector) = OB(vector). a. i. Find Bx in terms of , a and b. ii. Find AY(vector) in terms of , a and b. b. 5 BP(vector) = 2...
The position vectors of points A and B relative to an origin O are a and b respectively. The point P is such that OP(vectors) = OA(vectors). The point Q is such that OQ(vectors) = OB(vectors). The...
A family special at a neighborhood restaurant offers dinner for four for $39.99. There are 3 appetizers available, 4 entrees, and 3 desserts from which to choose. The special includes one of each....
Ranjha Inc. manufactures widgets. The end product is produced in different departments within the plant. One component, C1, is causing some concern. The component is integral to the production of...
. Write a Java program in NetBeans that creates a LinkedHashSet. Your Java program must use the methods in the LinkedHashSet interface to do the following: 2.1 Add the above elements into the...
on the following statement: Mona is an industrial engineer working for car parts manufacturing facility. She collected the following data on three alternatives of sustainable energy systems to be...
Alvarado Company produced 2,900 units of product that required 6 standard direct labor hours per unit. The standard fixed overhead cost per unit is $2.55 per direct labor hour at 16,200 hours, which...
Find the complexity of the function given below. void function(int n) { int i, count =0; for(i=1; i*i
Refer to the data in QS 12-11. 1. How much cash is paid to acquire inventory during year 2018? 2. How much cash is paid for other expenses during year 2018? CRUZ, INC. Comparative Balance Sheets...
Difference between truncate & delete
Mooring and Associates provides wetlands design and maintenance services for its customers, most of whom are developers. Billing is based on costs plus a 30 percent markup. Thus, costs are allocated...
Black Oak Company identified the following activities, estimated costs for each activity, and identified cost drivers for each activity for this coming year. (These are the first three steps of...
Fine Finishing, Inc., produces a wood desk that sells for $500 and a wood table that sells for $900. Last year, total overhead costs of $6,000,000 were allocated based on direct labor costs. Direct...
Practice Problem 1 The stockholders equity accounts of Bramble Corp. on January 1, 2017, were as follows. Preferred Stock (6%, $100 par noncumulative, 4,400 shares authorized) $264,000 Common Stock...
JVCU Which of the following is considered cash for financial reporting purposes? 1 JVCU Which of the following is considered cash for financial reporting purposes? 1
Required information The Foundational 15 [LO8-2, LO8-3, LO8-4, LO8-5, LO8-7, LO8-9, L08-10) (The following information applies to the questions displayed below.) Morganton Company makes one product...

At 12:00 hours, a tanker sails from a point P with position vector (5i + 12j) km

Question:

Step by Step Answer:

Solution a We have i 122 v cos 30 v 42 v sin 30 v 163 km h1 ii 32 2v cos 30 5v sin 30 122 0 v 6 km h...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions