A projectile is fired vertically upward, and its height s(t) in feet after t seconds is given

Question:

A projectile is fired vertically upward, and its height s(t) in feet after t seconds is given by the function s(t) = -16t² + 800t + 600.

(a) From what height was the projectile fired?

(b) After how many seconds will it reach its maximum height?

(d) Between what two times (in seconds, to the nearest tenth) will it be more than 5000 ft above the ground?

(e) After how many seconds, to the nearest tenth, will the projectile hit the ground?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

College Algebra

ISBN: 978-0134697024

12th edition

Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

See More Books

Question Posted: Feb 20, 2019 12:44 PM

See More Questions

A small rocket is fired directly upward, and its height s in feet after t seconds is given by the function s(t) = -16t 2 + 88t + 48. (a) Determine the time at which the rocket reaches its maximum...
A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 45° to the horizontal. In physics, it is established that the height h of the golf ball is given by the...
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a (t) = 60t, at which time the fuel is exhausted and it becomes a freely falling body. Fourteen...
Selected data on merchandise inventory, purchases, and sales for Jaffe Co. and Coronado Co. are as follows: Instructions 1. Determine the estimated cost of the merchandise inventory of Jaffe Co. on...
On December 31, 2012, Magily Company acquired the following three intangible assets : (a) A trademark for $30,000. The trademark has seven years remaining in its legal life. It is anticipated that...
Ken sold a rental property for $500,000. He received $100,000 in the current year and $100,000 each year for the next four years. Of the sales price, $400,000 was allocated to the building and the...
3 Qu tipo de conflicto de canal es probable que cause la distribucin dual y qu tipo es posible reducir mediante la distribucin directa? Por qu?
A crustal block with mean density 3000 kg m^3 is initially in is ostatic equilibrium with the surrounding rocks whose density is 3200 kg m^3, as in the figure (a). After subsequent erosion the...
8. Abby consumes only apples. In year 1, red appies cost $1 each, green apples cost $2 each, and Abby buys 10 red apples. In year 2, red apples cost $2, green apples cost $1, and Abby buys 10 green...
Sanderson is a bus driver who earns a monthly gross income of $3,500. His wife Norma is the manager of an automotive parts store and she earns gross income of $2,250 every two weeks. The couple has...
Use a quadratic function to find the dimensions of the rectangular region of maximum area that can be enclosed with 180 m of fencing, if no fencing is needed along one side of the region.
During the course of a year, the number of volunteers available to run a food bank each month is modeled by V(x), where V(x) = 2x 2 - 32x + 150 between the months of January and August. Here x is...
Fit a linear trend equation to these data showing the value of shipments of food products in billions of dollars. What is the trend estimate for 2015? 006 2007 Year: Shipments $512.3 $532.4 $537.8...
If a change were made to Technical Spec 2 in the product's design, this would likely change the customer's opinion of which value feature the most? Quick Start Quick Start QFD Matrix 1 = Strong...
You are a quality management consultant for the Beserk Tennis Ball Company. Beserk is redesigning its current model of tennis ball, and you are asked to use QFD analysis to make suggestions about...
You are reviewing a tender evaluation that is to be awarded on lowest total price. The bid evaluations follow: To which company should the contract be awarded? Company Capital Cost Maintenance...
You have invited four companies to bid on a consulting project. All four companies answered your invitation to tender, but the bids vary in the number of hours each company estimates will be required...
Boston Cycles inventory data for the year ended December 31, 2011, follow: Assume that the ending inventory was accidentally overstated by $2,200. Requirement 1. What are the correct amounts for cost...
These are words or names that are used to identify storage locations in memory and parts of the program that are created by the programmer. a. Punctuation b. Programmer-defined names c. Key words d....
Distinguish among total-moisture content, free-moisture content, equilibrium-moisture content, unbound moisture, and bound moisture.
In Exercises 103104, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (-2, 3) and (3, -9)
In Exercises 95106, begin by graphing the standard cubic function, f(x) = x 3 . Then use transformations of this graph to graph the given function. r(x) = (x - 2) + 1
With aging, body fat increases and muscle mass declines. The line graphs show the percent body fat in adult women and men as they age from 25 to 75 years. Use the graphs to solve Exercises 99106. The...
The following amounts were reported on the December 31, 2022, balance sheet: Cash $ 8,000 Land 20,000 Accounts payable 15,000 Bonds payable 120,000 Merchandise inventory 30,000 Retained earnings...
Sandhill Co. issued $ 600,000, 10-year, 8% bonds at 105. 1.Prepare the journal entry to record the sale of these bonds on January 1, 2017. (Credit account titles are automatically indented when the...
Based on the regression output (below), would you purchase this actively managed fund with a fee of 45bps ? Answer yes or no and one sentence to explain why.

A projectile is fired vertically upward, and its height s(t) in feet after t seconds is given

Question:

Step by Step Answer:

st 16t 2 800t 600 a To find what height the projectile was fired we can find what the height was at ...View the full answer

College Algebra

Students also viewed these Mathematics questions