The time it takes an object to hit the ground, if air resistance is ignored, is a function only of the distance ithas fallen. That time (in seconds) is given byt = 0.25-d1¹/2where d is the distance the object falls, measured in feet.Suppose that when you drop a 8.6 pound gallon of milk off the top of a building it takes 2.1 seconds for it tohit the ground. How tall is the building?feetRound to the nearest foot

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Answered: The time it takes an object to hit the…

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...

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Sammie sees a cat 120 ft to her east. She then runs to the east at a speed of 12 ft/s. If the catwalks northward at 4 ft/s, how fast does the distance between them change after 8 seconds?(Is the distance increasing or decreasing.) Use calculus concepts in solving this problem about rates of change.
A bacteria culture is known to grow at a rate proportional to the amount present. After one hour, 1000 bacteria are observed in the culture; and after four hours, the population increased by 150%. Find an expression for the number of bacteria present in the culture at any time t.
Find E(X) and if students pay $500 per course plus a $100 per-semester registration fee., What is the average amount of money the university can expect to make from a student each a semester?
The value V of a machine t years after it is purchased is inversely proportional to the square root of t + 1. The initial value of the machine is $10,000. (a) Write V as a function of t.
4. As a tornado moves, its speed increases. The function S(d) = 93 log d + 65 a) Graph this function. b) Calculate the average rate of change for the speed of the wind at the centre of a tornado from mile 10 to mile 100. c) Estimate the rate at which the speed of the wind at the centre of a tornado is changing at the moment it has travelled its 10th mile and its 100th mile. d) Use your graph to discuss how the rate at which the speed of the wind at the centre of a tornado changes as the distance that the tornado travels increases.
Suppose you are going hiking and over the course of your trip, your velocity at time t hours is given by the function v(t) = square root of (4 − (t − 2)2) kilometers per hour. The trip takes you 4 hours. How many kilometers is the hike?
The distance a marathon runner covers can be modelled by the function d(t) = 153.8t + 86 %3D where d represents the distance in metres and t represents the time in minutes. Approximately how long will it take her to run the 42.2 km race? a. O a. 6.0 h O b. 5.0 h O c. 4.5 h Od. 5.5h
The vector from the origin to point A is given as 4x-4y, and the unit vector directed fron the origin toward point B is i+y +2. If points A and B are 11.3 units apart, the coordinates of point B are a. (6.52,-3.26,6.52) b. (6.52 ,6.52,3.26) Oc. (-6.52,-6.52,6.52) d. (19.56 ,19.56,9.78) e. (13.11,13.11,6.55) The position vector of P(5,1,3) is
A Ferris wheel is 18 meters in diameter and boarded from a plataforma that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform.The wheel completes 1 full revolution in 6 minutes. The function h(t) gives a persons height in meters above the ground t minutes after the wheel begins to turn. Find a formula for the height h(t) as a function of time
Please help me with this question.
A ball falls vertically after being dropped. The ball falls a distance d metres in a time of t seconds. d is directly proportional to the square of t. The ball falls 20 metres in a time of 2 seconds. (a) Find a formula for d in terms of t.

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