Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. The driver ofcar A sees and reacts very unwisely to the police car P. Car A is traveling at VA = 125 km/h as it passes P, but over the next 5.4 seconds,the car uniformly accelerates to 151 km/h, after which that speed is maintained. At the moment when A passes P, the police car beginsto accelerate at the constant rate of 5.3 m/s² until a speed of 173 km/h is achieved, and that speed is then maintained. Determine thedistance s required for the police officer to overtake car A.AVAAnswer: s= i 1039.83(HPm

Given Data: Car A is traveling at a location where the speed limit is 100 km/h. Car A is traveling…

Answered: Car A is traveling at a location where…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Jackie and Christine are racing again! We only get some discrete data this time, but we can find the details through calculation! 3 minutes after the race starts, Jackie is 12 miles away from the starting point, and Christine is 27 miles ahead of Jackie. 13 minutes after the race starts, Jackie is 52 miles away from the starting point, but now Christine is only 17 miles ahead from Jackie. Assume they are going at a constant speed. (a) Present their movement on the xy-plane, where the x- and y-axis represent the time since the race starts and their distances from the starting point respectively. Label the four points clearly. (b) Find the speed of Christine and Jackie. You may use the unit “miles per minute” or, if you are comfortable with unit conversion, “miles per hour.” (c) Is anyone given a head start? If so, who is that and how far was that? (d) How far is Jackie from the starting point when he catches up with Christine?
A patient is classified as having gestational diabetes if their average glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with μ=140+5 mg/dl and σ=5+1 mg/dl. Using the Central Limit Theorem, determine the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: Once? n=5+2 times n=5+4 times Comment on the relationship between the probabilities observed in (a), (b), and (c). Explain, using concepts from lecture why this occurs and what it means in context.
The following data show the number of people (in thousands) who own a DVD player in a large city or linear is best for over a period of years. 1999 2001 Year Number of DVD Owners (thousands) 1998 23 27 2000 31 37 2002 43 a) Use your model to predict how many people will own a DVD player in the year 2015. b) Predict the instantaneous rate of change in the number of DVD players in this city in 2000.
The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2012 2010 2012 2014 2016 336.5 363.5 398.1 Year CO, Emissions 2018 424.8 451.1 Year 2022 2024 2026 2028 2030 Co, Emissions 559.2 591.9 628.7 665.1 707.1 2020 2032 743.7 Using x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions, write the equation of the linear function that models these data. (Round all numerical values to two decimal places.) Hint: Let x 0 in 2010. y(x) =
Researchers have created every possible "knockout" line in yeast. Each line has exactly one gene deleted and all the other genes present (Steinmetz et al. 2002). The growth rate—how fast the number of cells increases per hour—of each of these yeast lines has also been measured, expressed as a multiple of the growth rate of the wild type that has all the genes present. In other words, a growth rate greater than 11 means that a given knockout line grows faster than the wild type, whereas a growth rate less than 11 means it grows more slowly. The growth rate of a random sample of knockout lines is 0.86, 1.02, 1.02, 1.01, 1.02, 1, 0.99, 1.01, 0.91, 0.83, 1.01 What is the standard deviation and variance of growth rate for this sample?
(7) Two cars (Car A and Car B) travel on parallel east-west roads (Road 1 and Road 2) located 10km apart. Car A is travelling west on Road 1 at a speed of 80km/h. Car B is travelling east on Road 2 at a speed of 50km/h. How fast is the distance between them changing, when the distance between them is 15km? Hint. Draw a picture to get started.
answer the blank please.
A car and a truck leave the same place and travel in the same direction along a straight road. The car starting from rest speeds up to 24 kph with a constant acceleration of 1/6 m/s² and then runs at this speed. The truck leaves 40 seconds after the car with a uniform acceleration of 1/3 m/s² from rest to attain a speed of 48 kph and then travels at this speed. How soon after the car started will the truck overtake the car?
In simple linear regression analysis, all the variables are in their natural logs to ensure that P37 Select one: a. None of the answers are correct b. \( log ⁡xy= log ⁡x+ log ⁡y \) c. \( log⁡ \frac{x}{y}= log⁡x- log⁡y \) d. \( log⁡ x^2 = n log⁡ x \)
4. If s t -5t + 5t-3, the velocity is equal to 2 if t =

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