The following data is provided for the velocity of an object as a function of time t, s v, m/s |0 4 8 12 82.8 16 99.2 20 112.0 24 121.9 28 32 36 34.7 61.8 129.7 135.7 140.4 Using the best numerical method available, how far does the object travel from t = 0 to 28s? Using the best numercial method available, what is the object's acceleration at t = 28s? Using the best numerical method available, what is the object's acceleration at t = 0s? Show your outputs in terms of the following: Excel data tabling

The following data is provided for the velocity of an object as a function of time t, s v, m/s |0 4 8 12 82.8 16 99.2 20 112.0 24 121.9 28 32 36 34.7 61.8 129.7 135.7 140.4 Using the best numerical method available, how far does the object travel from t = 0 to 28s? Using the best numercial method available, what is the object's acceleration at t = 28s? Using the best numerical method available, what is the object's acceleration at t = 0s? Show your outputs in terms of the following: Excel data tabling

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.1E: aThe average rate of change of a function f between x=a and x=b is the slope of the ___________ line...

See similar textbooks

Similar questions

aThe average rate of change of a function f between x=a and x=b is the slope of the ___________ line between (a,f(a)) and (b,f(b)).
The "spring-like effect" in a golf club could be determined by measuring the coefficient of restitution (the ratio of the outbound velocity to the inbound velocity of a golf ball fired at the clubhead). Twelve randomly selected drivers produced by two clubmakers are tested and the coefficient of restitution measured. The data follow: Club 1: 0.8406, 0.8104, 0.8234, 0.8198, 0.8235, 0.8562, 0.8123, 0.7976, 0.8184, 0.8265, 0.7773, 0.7871 Club 2: 0.8305, 0.7905, 0.8352, 0.8380, 0.8145, 0.8465, 0.8244, 0.8014, 0.8309, 0.8405, 0.8256, 0.8476 Test the hypothesis that both brands of ball have equal mean overall distance. Use α = 0.05 and assume equal variances. Question: Reject H0 if t0 < ___ or if t0 > ___.
A study was done to compare the birth weight of newborn babies from the general population to a group of 24 babies born to mothers who smoked during pregnancy. The researcher was testing her prediction of an average lower birth weight for babies born to smokers. The mean birth weight in the population was reported to be 3.5 kg and birth weight in the sample was M = 3.0 kg. Results from the t-test used in data analysis showed a t-value = 5.35, p = .02. No calculations are required here. Type in your answers to the following questions in the space below. 1) which of the 3 t-tests is the proper one to use? 2) Write the Null and Alternative Hypotheses for this study in a sentence, including the value of mu. 3) Write an APA conclusion for this study to report the results. This sentence should include the IV and DV, significance, APA stats, and the M.
Vehicle breakdowns are equally likely to occur at any point on a 10 kilometer stretch of a given expressway. An emergency recovery truck is stationed at one end of this stretch of expressway. Assume that the recovery truck travels at a constant speed of 50 kilometers/hour. What is the expected (average) time taken for the recovery truck to reach a vehicle that breaks down on this stretch of expressway?
In last week's assignment, you calculated mean free path, total absorption, and reverberation time for a room that is 4 m long, 7 m wide, and has a ceiling height of 3 m. The floor is hardwood, = .15 at 500 Hz. The walls are gypsum wallboard (GWB), = .30 at 500 Hz. The ceiling is acoustic ceiling tile (ACT), = .95 at 500 Hz. 2) For a person speaking, what is the critical distance in this room? Use Q = 2.
Sulfur dioxide (SO2) pollution is a known cause for corrosion of exposed steel. To document this effect in actual conditions, steel weight loss (gm/m3/yr) was measured at 36 locations in a large city, along with the rate at which SO2 was deposited (mg/m2/day). Perform a two-sided test of H0: ρ = 0.800, with α = 0.01. SO2 Loss 22.6 580 26.1 563 19.1 339 17.2 346 25 623 16.8 420 42.7 951 30.4 794 17.9 461 30.4 757 27.8 573 27.8 656 33 990 14.2 551 37.4 856 16.2 443 27.7 802 22.7 657 21 495 15.8 496 13.7 353 24.7 724 23.7 602 30.7 639 33.5 813 30.2 770 20.1 556 22.8 557 39.9 1001 15.5 432 40.4 940 27.9 687 39.4 919 25.1 590 28.6 640 29.7 702
d. Denote the expected return and its standard deviation as functions of π byμ(π ) and σ (π ). The pair (μ(π ), σ (π )) trace out a curve in the plane as πvaries from 0 to 1. Plot this curve. I need to draw a graph from this??
D. A journal reported on the velocity of ammunition fired from a pistol, a 9-mm gun. Field tests revealed that bullets from a certain manufacturer fired from the pistol had a mean velocity (at 15 feet) of 940 feet per second and a standard deviation of 20 feet per second. D1. Describe the velocity distribution of bullets fired from the pistol. Choose the correct answer below. A. At least 3/4 of the velocities will fall within the interval (880,1000). B. At least 3/4 of the velocities will fall within the interval (900,980) and at least 8/9 of the velocities will fall within the interval (880,1000). C. At least 8/9 of the velocities will fall within the interval (940, 1000). D2. A bullet whose brand is unknown is fired from the pistol. Suppose the velocity (at 15 feet) of the bullet is 1,000 feet per second. Is the bullet likely to be the bullet from the same manufacturer? yes or no
Find the average value of the function: fx) = mx + n at the interval [a, b]. At what point in the range [a, b] does the function get this mean value?
Calculate SSb and SSw Calculate dfb and dfw Calculate MSb and MSw Calculate F Identify the critical F-value, compare it to F-observed, and state whether you should accept or reject the null hypothesis.
A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. to support this claim, the customer asked the pro shop to string 6 new rackets at 68 psi. Suppose the two-tailed p-value for the test described above (obtained from a computer printout) is 0.07. Give the proper conclusion for the test. Use α = 0.05. a) There is sufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 68 psi. b) There is insufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 68 psi. c) Accept H0 and conclude that μ, the true mean tension of the rackets, equals 68 psi. d) Reject H0 and conclude that μ, the true mean tension of the rackets, equals 68 psi.
The degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the knee. Stance duration (ms) was measured in separate samples of younger and older adults. younger: n=22 mean=801 s=117 older: n=16 mean=780 s=81 Test the claim that the true average stance is different between younger and older adults. Let population 1= younger population 2= older a. What is the appropriate procedure to test the claim? b.What is the degrees of freedom? Use the conservative formula. c.At 0.05 significance level, what is/are the critical value/s? d.What is the value of the test statistic? Use 2 decimal places e.Construct a 95% confidence interval estimate, what is the margin of error? Use 2 decimal places.