eed help withn this problém or this material?er to use the Academic Support resourceson your homepage in Brightspace orearning modules.Introduction to Calculus in Physics:Calculus is a powerful tool used in all areas of physics. One of the initial applications areas is classical physics, particularly Newtonian mechanics. Animportant function is the position function s (t) that measures how far the object is from point 0 at time t. The question below deals with just the positionfunction s (t).Problem Set question:The position function for a falling objects is given by s (t) = -16t“ + vŋt + s0, where s (t) is the height of the object in feet, vo is the initial velocity, sois the initial height, and t is the time in seconds.A ball is shot upwards from the surface of the earth (so = 0) with an initial velocity of 30 feet per second. What is the maximum height reached by the ball?Round your answer to the nearest integer.The maximum height reached by the ball is NumberUnits

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Description: eed help withn this problém or this material?er to use the Academic Support resourceson your homepage in Brightspace orearning modules.Introduction to Calculus in Physics:Calculus is a powerful tool used in all areas of physics. One of the initial a

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Math

Calculus

The position function for a falling objects is given by s (t) = -16t4 + vnt + s0, where s (t) is the height of the object in feet, vo is the initial velocity, so is the initial height, and t is the time in seconds. A ball is shot upwards from the surface of the earth (s0 = 0) with an initial velocity of 30 feet per second. What is the maximum height reached by the ball? Round your answer to the nearest integer. The maximum height reached by the ball is Number Units

The position function for a falling objects is given by s (t) = -16t4 + vnt + s0, where s (t) is the height of the object in feet, vo is the initial velocity, so is the initial height, and t is the time in seconds. A ball is shot upwards from the surface of the earth (s0 = 0) with an initial velocity of 30 feet per second. What is the maximum height reached by the ball? Round your answer to the nearest integer. The maximum height reached by the ball is Number Units

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...

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In this problem you are asked to find a function that models in real life situation and then use the model to answer questions about the guidelines on page 273 to help you. Minimizing Time A man stands at a point A on the bank of a straight river, 2 mi wide. To reach point B, 7 mi downstream on the opposite bank, he first rows his boat to point Pon the opposite bank and then walks the remaining distances x to B, as shown in the figure. He can row at a speed or 2 mi/h and walk as a speed of mi/h (a) Find a function that models the time needed for the trip. (b) Where should he land so that he reaches B as soon as possible?
In this problem you are asked to find a function that models in real life situation and then use the model to answer questions about the guidelines on page 273 to help you. Bird Flight A bird is released from point A on an island. 5 mi from the nearest point Bon a straight shoreline. The bird flies to a point C on the shoreline and then flies along the shoreline to its nesting area D (see the figure). Suppose the bird requires 10 Kcal/mi of energy to fly over land md 14 kcal/mi to fly over water. a) Use the fact that energy used = energy per mile X miles flown to show that the total energy used by the bird is modeled by the function E(x)=14x2+25+10(12x) (b) If the bird instinctively chooses a path that minimizes its energy expenditure, to whatpoint does it fly?
Terminal Velocity Revisited In one of the early Functions and change pilot courses at Oklahoma State University, the instructor asked the class to determine when in Example terminal velocity would be reached. Three students gave the following three answers: Student 1: 58 seconds into the fall. Student 2: 147 seconds into the fall. Student 3: Never. Each students answer was accompanied by what the instructor judged to be an appropriate supporting argument, and each student received full credit for the problem. What supporting arguments might the students have used to convince the instructor that these three different answers could all be deserving of full credit? Hint: Consider the formula given in Example 2.1. For student 1, look at a table of values where the entries are rounded to two decimal places. For student 2, look at a table of values made by using all the digits beyond the decimal point that the calculator can handle. In this case, that was nine. For student 3, consider what value 0.834t must have to make 176(10.834t) equal to 176.
Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.
What is the composition of two functions, fg ?