A projectile is launched at an angle e and speed of u. The projectile travel time t, maximum travel distance xmax , and maximum height hmax are given in the equations below. If u = 150 m/s and e = 56°, define u and 0 as variables and calculate t, xmax and hmax (g=9,81m/s'): u hmax хmах 1324 sin 0, хтах — u? sin 20 cos 0, hmax g u? sin20 2g

A projectile is launched at an angle e and speed of u. The projectile travel time t, maximum travel distance xmax , and maximum height hmax are given in the equations below. If u = 150 m/s and e = 56°, define u and 0 as variables and calculate t, xmax and hmax (g=9,81m/s'): u hmax хmах 1324 sin 0, хтах — u? sin 20 cos 0, hmax g u? sin20 2g

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter11: Nonlinear Programming

Section11.1: Review Of Differential Calculus

Problem 7P

See similar textbooks

Similar questions

Employees of KB and SONS Consultants Limited are paid at an hourly basics of 25GHS per an hour for regular hours and 1.5 times per hour for overtime hours in a week. Any hour worked over 40 hours per week is overtime. The following national tax sliding scale is then applied to determine the amount of tax to be paid by an employee. GrossWage Tax Rate (%) First 125 0 Next 125 5 Next 1500 10 Next 2750 15 Next 1250 20 Excess over 5000 30 In addition 6% of an employee’s gross wage is withheld for Social Security, 3% is withheld as constituency tax and 20GHS is withheld by the employer as welfare contribution. If an employee has more than 3 dependants then an amount of 5GHS for each dependant in excess of three towards NHIS. You are required to write a program that compute a workers gross pay, the deductions and his/her net pay. Your program should allow details of the staff to be accept /input into the system for the necessary computations. Try using comments in explaining the flow of the…
Ram mohan and sohan took loan of RS x,y,z on rate of intrest are %,p%,q% for time t1,t2,t3 years respectively .calculate simple intrest they will pay and find who will pay the most using ternary operator?
If f(x) = 2.x^3 and g(x) = x + 1. What is (g o f) (x)?
Ram, Mohan and Sohan took loan of Rs. x, y and z on rate of interest r%, p%, q% for time t1, t2 and t3 years respectively. Calculate simple interest they will pay and find who will pay the most using ternary operator?
Considering the function f(x) = x – cos(x), what is the value of x7 after performing fixed point iteration. Assume an initial guess of 1. Use the equation form that will seem fit according to the choices provided.Group of answer choices 0.72210 0.71537 0.76396 0.72236
You wish to drive from point A to point B along a highway minimizing the time that you are stopped for gas. You are told beforehand the capacity C of you gas tank in liters, your rate F of fuel consumption in liters/kilometer, the rate r in liters/minute at which you can fill your tank at a gas station, and the locations A = x1, ··· , B = xn of the gas stations along the highway. So if you stop to fill your tank from 2 liters to 8 liters, you would have to stop for 6/r minutes. Consider the following two algorithms: (a) Stop at every gas station, and fill the tank with just enough gas to make it to the next gas station. (b) Stop if and only if you don’t have enough gas to make it to the next gas station, and if you stop,fill the tank up all the way. For each algorithm either prove or disprove that this algorithm correctly solves the problem. Your proof of correctness must use an exchange argument.
You have a five-quart jug, a three-quart jug, and an unlimited supply of water (butno measuring cups). How would you come up with exactly four quarts of water? Note that the jugs are oddly shaped, such that filling up exactly "half" of the jug would be impossible.
Information on morphine: Morphine can be administered via injection / IV. The quantity of morphine in a given dose may vary, but one guideline is to use 0.1 mg of morphine for each kg of the patient's body mass. The time taken for half the quantity of morphine to be removed from the body is 2 hours. An exponential function can be used to model the amount of morphine in the body over time: ?=?0???A=A0ekt (note that ?k will be negative). Calculate the value of ?k for morphine. Write a Python function called MorphineModel, which takes two arguments: dose amount ?0A0 and time since last dose ?t, and returns the amount of morphine in the body at this time ?t. Add to your computer code so that you have a program which is an implementation of the following flowchart. Ensure that your code is well-communicated to a user of the program (via the print statements) and well-communicated to someone reading the code (via comments).
You are given some tasks of size xK, yK and zK respectively and there are at most 9 tasks each. Determine the best that you could achieve if you are to fill up a hole of size SK, for the following values of x, y, z and S, by maximizing the space used (up to S), i.e. minimizing the used space, if any. Show how many tasks of size x, how many tasks of size y and how many tasks of size z are used in each of the three cases. (g) Now if we relax the requirement so that there are no upper limits on the number of tasks for each type, determine the maximal space usage and the task mix. (h) If we tighten the requirement so that there are still at most 9 tasks of each size, but we also require that each type of tasks must be used at least once, determine maximal space usage and the task mix. Case 1 2 3 X 22 26 28 y 33 43 65 50 77 74 S 488 556 777 You could complete the following table. Fill in the number of tasks inside the brackets and the corresponding maximal usage. (At most 9 tasks each (g)…
3. If money is worth 7% effective, find the present value of a P4, 000.00 perpetuity payable every year. (P57, 142.86)
Evaluating and Solving Radical Functions A person's Body Mass Index is calculated with the formula: BMI=(weight / height2)⋅703 where weight is in pounds and height is in inches. If a person's BMI is above 25 and below 30, they are classified as overweight. If we solve this equation for height, we can determine how tall a person of a given weight should be if they have a BMI of 25.Our new Function is H(w)=√703w / b where H(w) is the person height in inches and ww is a person weight in pounds and b is the person's Body Mass Index (BMI). Use the function to answer the following questions. Determine how tall a person is if they weigh 225 pounds and they have a BMI of 25 Round your answer to one decimal place.The person that weights 225 pounds and has a BMI of 25 is about .......... inches tall. If a person is 68 inches tall and has a BMI of 25, determine their weight.A person that is 68 inches tall and has a BMI of 25 will weigh approximately ........... pounds.
Six months before its annual convention, the AmericanMedical Association must determine how many rooms toreserve. At this time, the AMA can reserve rooms at a costof $50 per room. The AMA must pay the $50 room costeven if the room is not occupied. The AMA believes that thenumber of doctors attending the convention will be normallydistributed, with a mean of 5,000 and a standard deviationof 1,000. If the number of people attending the conventionexceeds the number of rooms reserved, extra rooms must bereserved at a cost of $80 per room. Use simulation todetermine the number of rooms that should be reserved tominimize the expected cost to the AMA.