A researcher is nuning a simulation of an upward rocket to study the upward velocity of therocket using various fuel consumption rates. The researcher has found that the upward velocityof the rocket can be represented by the following equation,mov = u IngtAmo-qt.where v=upward velocity of the rocket (m/s), u= the velocity at which fuel is expelled relativeto the rocket (m/s), m, = the initial mass of the rocket (kg), q = the fuel consumption rate(kg/s), g = the downward accelemation of gravity (m/s), and t = time taken by the rocket forthe whole motion (s). If u = 1,500 m/s, m, = 125,000 kg, q = 2,300 kg/s and g= 9.81 m/s arethe values used by the researcher in one of his simulations, estimate the time, t at which v =680 m/s using False Position method. It is known that the time, t is somewhere between 15 sand 35 s. Perform THREE (3) iterations only and calculate the approximate percent relativeerror, Ea| for every iteration.

v = ulnmomo-qt -gtv=upward velocity 680ms u=fuel expelling velocity…

Answered: A researcher is nunning a simulation of…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

On the moon, the acceleration of a free-falling object is a(t) = −1.6 meters per second per second. A stone is dropped from a cliff on the moon and hits the surface of the moon 20 seconds later. How far did it fall? What was its velocity at impact?
The linear attenuation coefficient of water is 0.206/cm at 60keV. In a CT image, two tissues differ in their CT number by 29. What is the difference between their linear attenuation coefficients? Answer: 0.006 cm-1
An article explains that the locomotion of different-sized animals can be compared when they have the same Froude number, defined as F = gl where v is the animal's velocity, g is the acceleration due to gravity (9.81 m/sec2) and I is the animal's leg length. (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find the velocity at which this change occurs for an animal with a leg length of 0.02 m. (b) Ancient footprints of a dinosaur are roughly 0.9 m in diameter, corresponding to a leg length of roughly 3.6 m. By comparing the stride divided by the leg length with that of various modern creatures, it can be determined that the Froude number for this dinosaur is roughly 0.025. How fast was the dinosaur traveling?
A projectile is fired straight up from a platform 10ft above the ground, with an initial velocity of 160 ft/sec. Assume that the only force affecting the motion of the projectile during its flight is from gravity, which produces a downward acceleration of 32 ft/sec?. What is the equation for the height of the projectile above the ground as a function of time t if t = 0 when the projectile is fired? s = -16t2 + 80t + 10 s = 16t2 – 160t + 10 - O D A s = -16t2 – 160t + 10 s = -16t2 + 160t + 10 B
A 800-lb object is released from rest 600 ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air resistance is - 20v, where v is the velocity of the object in ft/sec, determine the equation of motion of the object. When will the object hit the ground? Assume that the acceleration due to gravity is 32 ft / sec and let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object. x(t) = O
A weight is suspended on a spring and set in motion such that it bobs up and down vertically. The equation h(t) = 3cos(3pi(t))+ 5 can be used to represent the height, h, in centimeters, of the weight above a desk after time, t, in seconds. Determine the instantaneous rate of change of the height at t = 3.5 seconds.
The pilot of a jet transport brings the engines to full takeoff before releasing the brakes as the aircraft is standing on the runway. The jet thrust remains constant, and the aircraft has a near-constant acceleration of 0.4g. If the takeoff speed is 200 kph, calculate the distances and time from rest to takeoff.
The velocity of a particle along the s-axis is given by v = 659/8 where s is in millimeters and vis in millimeters per second. Determine the acceleration when s is 4.1 millimeters. Answer: a = i eTextbook and Media mm/s²
The braking distance d, in meters, of a vehicle traveling at a velocity v, in meters per second, is given by the formula d = 2ug* is the coefficient of friction and g is the acceleration due to gravity. On Earth, where gx9.8 m/s. Complete parts (a) and (b) below. (a) Determine the braking distance of a car traveling at 55 km/hr on dry pavement (u = 0.80). (Be sure to convert the speed to meters per second.) The braking distance is about meters. (Simplify your answer. Round to the nearest integer as needed.) (b) Determine the braking distance of a car traveling at 63 mi/hr on wet pavement (u = 0.45). Give the final answer in feet. The braking distance is about feet. (Round to the nearest ten as needed.)
The velocity v (in feet per second) of a rocket whose initial mass (including fuel) is m is given by as attached, where u is the expulsion speed of the fuel, r is the rate at which the fuel is consumed, and g = 32 feet per second per second is the acceleration due to gravity. Find the position equation for a rocket for which m = 50,000 pounds, u = 12,000 feet per second, and r = 400 pounds per second. What is the height of the rocket when t = 100 seconds?
A 30-second commercial during Super Bowl XXXVII in 2003 cost advertisers 2.2 million. For the first Super Bowl in 1967, an advertiser could have purchased approximately 26.19 minutes of advertising time for the same amount of money. (a) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 2003 Super Bowl. cost= dollars/second. (round to nearest cent and do not enter commas) (b) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 1967 Super Bowl. cost = dollars/second. (round to nearest cent and do not enter commas) (c) How many times more expensive was Super Bowl advertising in 2003 than in 1967? times more expensive (round to nearest whole number)
Derive escape velocity equation, and find the escape velocity for the moon if the radius of the moon is 1080 miles, acceleration due to gravity of the moon be 0.165g, where g is the earth’s acceleration due to gravity (32.16 ft/sec2).

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS