Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Watch this step-by-step video, matched to your homework problem.

Try Numerade Free for 30 Days

Like

Report

[M] In a wind tunnel experiment, the force on a projectile due to air resistance was measured at different velocities:$\begin{array}{llllll}{\text { Velocity }(100 \mathrm{ft} / \mathrm{sec})} & {0} & {2} & {4} & {6} & {8} & {10} \\ {\text { Force }(100 \mathrm{lb})} & {0} & {2.90} & {14.8} & {39.6} & {74.3} & {119}\end{array}$Find an interpolating polynomial for these data and estimate the force on the projectile when the projectile is traveling at 750 $\mathrm{ft} / \mathrm{sec} .$ Use $p(t)=a_{0}+a_{1} t+a_{2} t^{2}+a_{3} t^{3}+a_{4} t^{4}$ $+a_{5} t^{5} .$ What happens if you try to use a polynomial of degree less than 5$?$ (Try a cubic polynomial, for instance.) $^{5}$$^{5}$ Exercises marked with the symbol I $\mathbf{M} ]$ are designed to be worked with the aid of a "Matrix program" (a computer program, such as MATLAB, Maple, Mathematica, Math Cad, or Derive, or a programmable calculator with matrix capabilities, such as those manufactured by Texas Instruments or Hewlett-Packard).

Answer: $p(750)=6480 \mathrm{ft} / \mathrm{sec}$Click for Details

Algebra

Chapter 1

Linear Equations in Linear Algebra

Section 2

Row Reduction and Echelon Forms

Introduction to Matrices

Sirius B.

January 15, 2022

Why are you scamming for money?

Please answer right questions or don't answer at all Arden M.

Missouri State University

Campbell University

Oregon State University

McMaster University

Lectures

01:32

In mathematics, the absoluâ€¦

01:11

08:58

Projectile Motion A projecâ€¦

10:25

A projectile is launched wâ€¦

01:37

PROJECTILE MOTION A projecâ€¦

01:10

13:32

A projectile is launched fâ€¦

03:11

A projectile (such as a baâ€¦

03:06

Use the following discussiâ€¦

17:38

Linear drag Derive the equâ€¦

03:32

19:23

Projectile flights in the â€¦

this question is asking us to sell for the values of Alfa Beta and Gamma using the system of linear equations given to us. So first thing we want to do is make a matrix. And instead of using the typical values or berry bowls ex one next to an X three, we're gonna make our columns represent the very bulls. Sign of Alfa Cho San Beta and Tangent of Gamma. So the first equation reads to sign Alfa Monusco San Beta plus free tangent of gamma is 11 3 The second equation is four sign Alfa plus two posts on beta minus two. Tension gamma is equal to two. In the last equation reads six sign Alfa minus three coast on beta plus tension of gamma is equal to So now we're gonna do so role reduction to help us solve this equation. So the first. So the what we want to do is moments that are two equal to our two. Minus two are one we want to set our three equal to our three minus three are one. When we simplify that, we get this new matrix to negative one during three first roses. Same the second row. Become zero for negative eight negative four and lost your come 00 Thank you. Five zero. So now what we're gonna do is we are going to solve for our first variable tangent of gamma by using third rope. So this reads they get five. Engine of gamma is equal to zero. We divide both sides by negative five. We get that tension of gamma is equal to zero. And then we take our 10 of old stars. We get that are 10 of zero is equal to zero, so gamma is equal to zero. Next up, we're gonna solve for coast on beta using our second row. So this reads four coast on beta Ernest ate engine gamma is equal to negative, for we can use our substitution here that says tension of gamma equals zero the right for coast on beta minus eight times zero from the substitution is equal Negative, for this cancels out. We divide both sides before we get co sign of beta is equal to negative oil. We take our coats on double sides and we find that data is equal two. Bye, which is also 180 degrees. Lastly, we're gonna want to solve for Alfa by using our first row. So this reads to Sun Alfa Bonus coast zone beta plus three Tanja Gamma is equal to three. We'll use our substitution for co sign beta and tension of gamma Get two sides Alpa Linus Osan Beta which is negative one plus three Tan Devil Tank Evans People to zero equals three So this cancels out becomes too son Alfa plus one is equal to three We subtract one from both sides and then the Bible sides by two And get that stun of Alfa It's equal to one We take our sign. Both sides find that Alba is equal to arc sine of one which is equal the pie over too or 90 degrees. So to summarize that we have found the values for Alfa Never better Thio Offa equals high over too which is equal to 90 degrees Beta is equal to pi which is equal to 180 degrees and lastly we get that sama is equal to zero

View More Answers From This Book

Find Another Textbook

In mathematics, the absolute value or modulus |x| of a real number x is its â€¦

Projectile Motion A projectile fired from the ground follows the trajectory â€¦

A projectile is launched with speed $v_{0}$ at an angle $\alpha_{0}$ above tâ€¦

PROJECTILE MOTION A projectile is launched at a height of $h$ feet above theâ€¦

A projectile is launched from the point $(x=0, y=0)$, with velocity $(12.0 \â€¦

A projectile (such as a baseball or a cannonball launched from the origin wiâ€¦

Use the following discussion.Projectile Motion The path of a projectile â€¦

Linear drag Derive the equations$$\begin{aligned} x &=\frac{v_{0}}{kâ€¦

Projectile flights in the following exercises are to be treated as ideal unlâ€¦

00:48

Simplify each expression. Write all answers with only positive exponents. Asâ€¦

00:33

Factor each expression.$$\left(4 x^{2}+1\right)^{2}(2 x-1)^{-1 / 2}+â€¦

01:02

In Exercises 5 and $6,$ write a system of equations that is equivalent to thâ€¦

02:12

Let $A=\left[\begin{array}{ccc}{5} & {0} & {0} \\ {0} & {.5} &amâ€¦

01:24

Suppose the statements that Apple Computer, Inc. developed the iPad and thatâ€¦

00:22

In Exercises $19-22,$ convert the angle measure.(See Example. 5.)Conâ€¦

02:27

Write a matrix equation that determines the loop currents. [M] If MATLAB or â€¦

08:43

Suppose the coefficient matrix of a linear system of three equations in threâ€¦

03:28

Tell whether the figure can be folded in half so that one side matches the oâ€¦

01:21

Solve each system in Exercises $1-4$ by using elementary row operations on tâ€¦

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the worldâ€™s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.