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Consider a situation in which Angie runs in the North direction along the straight edge of a lake (Y axis). Buddy starts out 50 metres to the east of Angie(x axis). They both start from rest. Angie runs at constant speed of u ms-1. Buddy notices angie and runs toward her at a constant speed v ms-1 in attempt to catch her. He changes direction every 2 seconds to notice angies new position. Buddy doesnt like to get wet and will avoid going into lake(-x axis)
1.Choose reasonable values for their running speed and fully justify your choices.2.Construct a diagram to plot the positions and directions of both runners. Use trigonometry to find coordinates of points where buddy changes his direction.3.determine recursive formulae for the x and y coordinates of buddy's position to establish discrete mathematical model4.use spreadsheet or geometric software to simulate positions of runners for variety of values of speeds u and v, the time and distance5.discuss conditions for buddy to catch up with angie6. what limitations does it have when applied to other situations?
Implement the following boolean function with a 4x1 multiplexer and external gates. Connect inputs A and B to the selection lines. The input requirements for the four data lines will be a function of variables C and D.
A class of students opens several bags, counts the various colors of jelly beans, and calculates the proportion that are pink in each bag. Is it appropriate to use a Normal model to describe the distribution of the proportion of pink jelly beans?
A motorboat travels 448km in 7 hours going upstream. It travels 630km going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
You are managing a small assembly operation building toy cars. Due to increased demand, you need to hire an employee in addition to the two that are already building this line of toy assemblies. For the questions below, show all your work in deriv..
Evaluate the multiple integral under given condition using spherical coordinate - Convert the following triple integral to an appropriate coordinate system and evaluate.
what's the formula for finding the surface area of the cylinder.
Important information about Finding a probability, Super Cola sales break down as 80% regular soda and 20% diet soda. While 60% of the regular soda is purchased by men
In this city, how many people receive a negative test result? How many people who test negative actually have the condition? What % of people who get a negative test result have the condition?
Let X and Y have joint density fXY (x; y) = c(x + y)^2 for 0≤ x ≤1; 0≤y≤1.
A plane flying horizontally at an altitude of 3 mi and a speed of 485 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. Please round yo..
Calculating Projected Net Income. A proposed new investment has projected sales of $825,000. Variable costs are 55 percent of sales, fixed costs are $187,150; depreciation is $91,000. Prepare a pro forma income statement assuming a tax rate of 35 ..
Many free software mathematics packages on the Internet will solve a system of equations given the coefficients in the system.
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