Purchase Solution

Rate of Change and Derivatives Applied to a Falling Rock and Profit Margin

Not what you're looking for?

Ask Custom Question

A rock is dropped from a tower on the Brooklyn Bridge, 276 feet above the east river. Let t represent the time in seconds.

a.) write a model for the position of the function (assume air resistance is negligible.)

b.) find the average velocity during the first 2 seconds.

c.) find the instantious velocity when t=2 and t=3

d.) how long will it take before the rock hits the water ?

e.) when it hits the water, what is the rock's speed?

Find the marginal profit function
P= -0.0002x^3 + 6x^2 - x - 2000

Purchase this Solution
Solution Summary

Rate of change and derivatives are applied to a falling rock and to profit margin. The solution is detailed and well presented.

Solution Preview

The solution is attached below in two files. the files are identical in ...

Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

View More Free Quizzes
Related BrainMass Solutions

  • Break-Even and Target Profit

    The locks have a variable cost of $10, and the company's annual fixed costs are $150,000. The company's tax rate is 38 percent. Calculate the number of locks that must be sold to earn an after-tax profit of $22,000.

  • Foreign Exchange Derivatives Markets Role

    Add to this the $4,590 initial margin and the further margin of $1,435 paid in on August 6 and the amount in your account on the morning of August 10 is $11,618.52 ($5,593.52 + $4,590 + $1,435). 5.

  • The sustainable growth rate of the company

    There is a turnaround in the profit margin in 2004 which is a healthy sign. Generally if the profit margins are low, it means either the sales units are less or the cost of operations are so high or an effect of both.

  • Accounting in the organization

    Lava Rock is beginning its 6th year of business. It continues to grow its product line and target customer market and it recently became a public company by issuing shares of stock in the NASDAQ exchange.

  • Growth rate of sales, SG&A percentage, best profit margin

    As a % of Sales, what change did SG&A achieve? Did the firm change tax brackets from year to year? What is the best net profit margin for the firm? What is the growth rate of sales?

  • Sampling Design

    H1: There exists a difference between the efforts of cost reduction through the shift of manufacturing plants and the change in the profit margin of the company.

  • 7 Physics Problems

    (Remember to convert mph to m/s) 3. A cubic meter of water has a mass of 1000 kg. What is the change in the potential energy of a cubic meter of water falling 50 m in a hydropower plant? Compare this to your answer to question 2. 4.

  • Acceleration, velocity and distance

    When a rock falls from rest, it will reach a velocity of 160 ft/sec after falling for 5 seconds. What is the acceleration due to gravity 7. An object accelerates from 120 m/sec to 200 m/sec at a rate of 4m/sec^2.

  • application of derivatives of function

    189366 Application of Derivatives of Function (See full description in the attachment). 1. With a yearly rate of 3 percent, prices are described as P = P0 (1.03)^t, where P0 is the price in dollars when t = 0 and t is time in years.

View More Related Solutions