The position as a function of time of a squirrel running on a grass field is given in polar coordinates by:r(t) = 20 + 30 (1 – e-0.1 t)0(t) = 1 (1 – e-0.2 t)= TTPlot as 1* subplot the trajectory (position) of the squirrel for 0 st < 20s with a step of time0.5s.Calculate numerically the speed of the squirrel given by v = r d8/dt.Create a 2d subplot for speed of the squirrel v (numerical) as function of time for 0 st s20s. Report the curve as green circle without line.In the same figure (2¤d subplot), plot as black solid line the theoretical velocity given by theformula v = r de/dt as function of time for 0 st s 20s.

The complete answer is given below .

The position as a function of time of a squirrel running on a grass field is given in polar coordinates by r(t) = 20 + 30 (1 – e-0.1 ') r(1) θ()π (1- ε 02 1) = TT Plot as 1* subplot the trajectory (position) of the squirrel for 0st < 20s with a step of time 0.5s. Calculate numerically the speed of the squirrel given by v = r d8/dt. Create a 2nd subplot for speed of the squirrel v (numerical) as function of time for 0 st s 20s. Report the curve as green circle without line. In the same figure (2nd subplot), plot as black solid line the theoretical velocity given by the formula v =r de/dt as function of time for 0 st s 20s.

The position as a function of time of a squirrel running on a grass field is given in polar coordinates by r(t) = 20 + 30 (1 – e-0.1 ') r(1) θ()π (1- ε 02 1) = TT Plot as 1* subplot the trajectory (position) of the squirrel for 0st < 20s with a step of time 0.5s. Calculate numerically the speed of the squirrel given by v = r d8/dt. Create a 2nd subplot for speed of the squirrel v (numerical) as function of time for 0 st s 20s. Report the curve as green circle without line. In the same figure (2nd subplot), plot as black solid line the theoretical velocity given by the formula v =r de/dt as function of time for 0 st s 20s.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter10: Classes And Data Abstraction

Section: Chapter Questions

Problem 19PE

See similar textbooks

Similar questions

Let l be a line in the x-yplane. If l is a vertical line, its equation is x = a for some real number a. Suppose l is not a vertical line and its slope is m. Then the equation of l is y = mx + b, where b is the y-intercept. If l passes through the point (x₀, y₀), the equation of l can be written as y - y₀ = m(x - x₀). If (x₁, y₁) and (x₂, y₂) are two points in the x-y plane and x₁ ≠ x₂, the slope of line passing through these points is m = (y₂ - y₁)/(x₂ - x₁). Instructions Write a program that prompts the user for two points in the x-y plane. Input should be entered in the following order: Input x₁ Input y₁ Input x₂
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product. Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as: C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature. If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer? Our input is 77. C = (5/9)*(77 - 32) C = (5/9)*(45) C = 25 The equivalent temperature is 25 degrees Celsius. To complete the Discussion activity, please do the following: Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above). Arm length is a function of height. The circumference of a circle is a function of diameter. The height of…
Algorithms Question Three points P, Q, and R are said to be collinear if they are on a single line. To check whether the 3 points lie on the same line, we use the distance formula. If P, Q and R are three collinear points, then: Distance from P to Q + Distance from Q to R = Distance from P to R PQ + QR = PR The distance between two points (x1, y1) and (x2, y2) is given by Hence, we can easily find the distance between the points P, Q and R, with the help of this formula. Design an algorithm (pseudocode) to check whether three points are collinear. In your solution include the input and the output.
In the example below, the sum of the fourth powers of each digit that forms the 4-digit numbers gives the number itself: 1634 = 14 + 64 + 34 + 44 8208 = 84 + 24 + 04 + 84 9474 = 94 + 44 + 74 + 44 And sum of these numbers is 1634 + 8208 + 9474 = 19316. Find the sum of all numbers that can be written as the sum of the fifth forces of their numbers. (P.s.: You have to done it by C++)
Algorithm to An iterative solution to Towers of Hanoi.in: triplet S = s0, s1, s2 representing the current game stateout: triplet R = r0, r1, r2 representing the new game statelocal: pole indices a, b, z ∈ {0, 1, 2}; disc numbers g, h ∈ [2, n]; last(Q) = Q|Q|−1, if1 ≤ |Q|, otherwise, last(Q) = +∞
A group of people, numbered 1 to N, are sitting in a circle. Starting at person 1, a hot potato is passed. After x number of passes, the person holding the hot potato is eliminated, the circle closes ranks, and the game continues with the person who was sitting after the eliminated person picking up the hot potato. The last remaining person wins. For example: number of passes = 1 and number of players = 5, the order of elimination is 2, 4, 1, 5. Write a program for general values of X and N. Ask a user for the number of people and number of passes To speed up the input and debugging, you may wish to store the names of the people in a file. Make sure no two names start the same letter ( Alex and Ana are not OK). Alternatively, you can number the players. Output number and/or the name of a person being eliminated Output number and the name of the winner Do not expect a user to do the right thing, error check the user input; among other things, what do you think a reasonable…
A group of people, numbered 1 to N, are sitting in a circle. Starting at person 1, a hot potato is passed. After x number of passes, the person holding the hot potato is eliminated, the circle closes ranks, and the game continues with the person who was sitting after the eliminated person picking up the hot potato. The last remaining person wins. For example: number of passes = 1 and number of players = 5, the order of elimination is 2, 4, 1, 5. Write a program for general values of X and N. Ask a user for the number of people and number of passes To speed up the input and debugging, you may wish to store the names of the people in a file. Make sure no two names start the same letter ( Alex and Ana are not OK). Alternatively, you can number the players. Output number and/or the name of a person being eliminated Output number and the name of the winner Do not expect a user to do the right thing, error check the user input; among other things, what do you think a reasonable…
If b is a unit modulo m and a is another unit with a=b^d (mod m), we say that d is the _________ of a modulo m to the base b and write d =___________.
In practical life, the employees get salaries and pay taxes honestly. Sometimes, the process of drawing salariesand payment of taxes may lead to some interesting situation. Suppose, a person draws salary of Rs. 10,000 permonth. A certain percentage of tax is charged on that amount, which is deducted every month. But if the salaryof the person is more than Rs. 10,000 per month, then the tax rate is different. Similarly if a person is getting Rs.20,000 per month, he/she would be charged more under a different tax rate slab. The interesting situationdevelops if there is an anomaly in the tax rates i.e. a person who is getting higher salary takes home lesser moneyas compared to the other person with less gross salary.To further elaborate it, we suppose that there is company 'C' where 100 or less than 100persons are employed. The salaries of the employees and their tax rates are known to us.We are required to list those unlucky persons, who are getting lesser take-home salary(net salary)…
Suppose a person can buy a chocolate bar from the vending machine for $1 each. Inside every chocolate bar is a coupon. A person can redeem 3 coupons for one chocolate bar from the machine. This means that once a person has started buying chocolate bars from the machine, he/she always has some coupons. A person would like to know how many chocolate bars can be bought, if a person starts with N dollars and always redeem coupons, if he/she has enough for an additional chocolate bar. For example: With 3 dollars a person could buy 4 chocolate bars after purchasing 3 bars giving him/her 3 coupons and then redeeming the 3 coupons for one bar. This would leave him/her with one extra coupon. Thus, will have 4 chocolate bars and still have one coupon leftover. For 11 dollars, a person can have 16 chocolate bars and still have one coupon leftover. For 12 dollars, a person can have 17 chocolate bars and have two coupons leftover. Write a complete Python program that prompts a buyer to input…
Python This simulates the population of fish. Use this to generate a plot with a numerical solution and the exact solution on the same plot axes for model parameters, P_m = 20,000 fish with a birth rate of b=6%, a harvesting rate of h=4%, a change in t=0.5 and y_0=5000
A group of m people is considering sharing the cost of buying some items for their summer camp. There are a total of n possible items to purchase. Each person writes a list of the items they are interested in purchasing on a paper. For example, person one may write “boat, trampoline, hot tub,” whereas person two may write “ hot tub, kayak, paddleboard”. There is no limit to how many items a person registers on their sheet. The goal is to determine if at least k items can be purchased. The following rules apply 1. The cost of any purchased item must be split equally among all those who listed that item on their sheet. No person can refuse to contribute to an item chosen for purchase, which is listed on their sheet. 2. Since each person has a limited budget, they may only contribute to at most one item on their list. The problem of determining if at least k items can be purchased is called SummerCamp. Show that this problem is NP-complete.