At time t = 0, boat P leaves the origin and travels with velocity (3i + 4j)

Question:

At time t = 0, boat P leaves the origin and travels with velocity (3i + 4j) km h^-1. Also at time t = 0, boat Q leaves the point with position vector (-10i + 17j) km and travels with velocity (5i + 2j) km h^-1.

a. Write down the position of vectors of boat A and B after 2 hours.

b. Find the distance between boats P and Q when t = 2.

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

At the moment t = 0 a particle leaves the origin and moves in the positive direction of the x axis. Its velocity varies with time as v = v0 (1 t /), where v0 is the initial velocity vector whose...
When a small boat travels north at 3 mi/h, a flag mounted on its stern forms s an angle = 50? with the centerline of the boat as shown. A short time later, when the boat travels east at 12 mi/h,...
A tour boat travels between two islands that are 12 miles apart (see figure). For each trip between the islands, there is enough fuel for a 20-mile trip. (a) Explain why the region in which the boat...
Suppose there are two identical forest plots except that one will be harvested and left as is while the second will be cleared after the harvest and turned into a housing development. In terms of...
At what temperature does the rms speed of O2 molecules equal 400. m/s?
On January 1, 2011, Cai Company issued a 10% convertible bond at par, with a face value of 100,000, maturing on January 1, 2021. The bond is convertible into ordinary shares of Cai at a conversion...
An increasing number of products, such as passports and credit cards, contain an embedded radio-frequency identification chip that both stores and transmits information. The chips do not have their...
Copper Mountain Company has accumulated the following data over a six-month period: Separate the indirect labor into its fixed and variable components, using the high-lowmethod. Indirect Labor Hours...
The following trial balance was extracted from the books of accounts of KOWA partnership operated by Kori and Wangui partners for the period ended 31/12/2018 after preparing a trading account. KOWA...
Suppose a test for a disease is 80% accurate for those who have the disease (true positives) and 80% accurate for those who do not have the disease (true negatives). Within a sample of 4000 patients,...
At 12:00 hours two boats, A and B, have position vectors (-10i + 40j) km and (70i + 10j) km and are moving with velocities (20i + 10j) km h -1 and (-10i + 30j) km h-1 respectively. a. Find the...
Relative to an origin O, the position vector of A is 6i + 6j and the position vector of B is 12i 2j. a. Find AB(vector). The point C lies on AB such that AC(vector) = AB(vector). b. Find the...
What methods can be used to measure the monetary value of employee benefits?
What are the emergent properties of complex adaptive systems, and how do they manifest within ecological networks, influencing patterns of species coexistence, competition, and niche partitioning?
Sam Martinez is seeking to invest a portion of his considerable assets in the "independent" electric power production industry in California, a sector projected to experience very rapid growth in the...
Explain the different alternatives for short term financing and the criteria applied in the selection process?
what ways do disturbances, such as natural disasters or anthropogenic activities, perturb the equilibrium of ecosystems, and what are the long-term implications for ecosystem structure and function?
what ways does the study of phenotypes inform our understanding of complex biological phenomena, including disease susceptibility, ecosystem dynamics, and evolutionary processes, providing insights...
A power company in Missouri can buy coal for its generating plants from western mines in Utah or from eastern mines in Pennsylvania. The maximum purchase price for coal of $20 per ton at the Missouri...
Express these numbers in standard notation. a. 2.87 10-8 b. 1.78 1011 c. 1.381 10-23
Deluxe Tire Company produces tires in two processing departmentsFabrication and Packaging. Transactions for the month of July are shown as follows. 1. Direct materials totaling $15,000 are...
Southwest Corporation uses the weighted average method for its process costing system. The Assembly department at Southwest began the month of April with 6,000 units in work-in-process inventory, all...
Refer to Exercise 28. Prepare a production cost report for Southwest Corporation for the month of April using the format shown in Figure 4.9. In Exercise 28 Southwest Corporation uses the weighted...
You are tasked with accounting for the following transactions for the City of Plantville. In addition to these five transactions below, you are provided with additional information. The city has also...
Customizing Gun Stock1 Most accuracy problems with wooden factory stocks are caused by?
Fee income arising from credit transactions include all of the following except Group of answer choices interest income from a loan home loan refinancing fees late payment charges mortgage servicing...

At time t = 0, boat P leaves the origin and travels with velocity (3i + 4j)

Question:

Step by Step Answer:

a The position vectors of boat P and Q after 2 hours are given by Position vector of boat P after 2 ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions