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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?
In this case, what is the optimal mix of frames that Ryan should produce, and what is the profit associated with this mix?
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Use the leading coefficient test to determine the behavior of the function.
Find the total charge on the disk.
The width of a rectangular photo frame is 8 centimeters less than its length. If the area of this rectangle is 240 square centimeters, find the length and width of the frame.
The Bunny Number Oney rabbit farm noticed that the rate of increase in rabbits on the farm was directly proportional to the number of rabbits at the farm at any time t. It was further noticed that the number of rabbits increased from 200 to 400 in..
If G acts on X, pi1(X) = {e}, and for all x elements of X there exists Ux neighborhood of X such that Ux intersection g(Ux) = empty set for all g elements of G{e}, then pi1(XG) is homeomorphic to G.
what is the number of fish? six months what is the total number of fish? One year after,what are the total number of fish. Round to the nearest whole number.
Find the solutions of the congruence 12x^2 + 25x = 10 (mod 11). [Hint: Show the congruence is equivalent to the congruence 12x^2 + 25x + 12 = 0 (mod 11).
Bonni has two simlilar rectangular boxes. The dimensions of box 1 are twice those of box 2. How many times greater is the volume of box 1 than the volume of box 2?
Advantages and disadvantages of strategy I and strategy II for finding the occurrence of supernova problem - What are some possible strategies for solving this problem?
How many liters of water are in a bucket that has 8,800 cm3 of water in it?
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