Suppose the height s of an object (in m) above the ground after t seconds is approximated

Question:

Suppose the height s of an object (in m) above the ground after t seconds is approximated by the function s = -4.9t² + 25t + 1.

a. Make a table showing the average velocities of the object from time t = 1 to t = 1 + h, for h = 0.01, 0.001, 0.0001, and 0.00001.

b. Use the table in part (a) to estimate the instantaneous velocity of the object at t = 1.

c. Use limits to verify your estimate in part (b).

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

See More Books

Question Posted: Feb 13, 2019 09:52 AM

See More Questions

A stone is thrown from the edge of a bridge that is 48 ft above the ground with an initial velocity of 32 ft/s. The height of this stone above the ground t seconds after it is thrown is f (t) = -16t...
Suppose a stone is thrown vertically upward from the edge of a cliff on Mars (where the acceleration due to gravity is only about 12 ft/s 2 )with an initial velocity of 64 ft/s from a height of 192...
On the moon, a feather will fall to the ground at the same rate as a heavy stone. Suppose a feather is dropped from a height of 40 m above the surface of the moon. Then its height s (in meters) above...
Assume that you are purchasing shares in a company in the variety store and gas bar supply business. Suppose you have narrowed the choice to BFI Trading Ltd. and Lin Corp. and have assembled the...
Belfast cleaning company operates its petty cash account using an imprest system. It is maintained at a figure of £100 on the first day of each month. At 31 December 20X2 £21.48 was held...
In Exercises 15 write the binomial probability and the normal probability for the shaded region of the graph. Find the value of each probability and compare the results. Ha) 0.24 0.20 0.16 0.12 n= 16...
Known liabilities of uncertain amounts should be a. estimated and accrued when they occur. b. ignored; record them when they are paid. C. reported on the income statement. d. described in the notes...
Information on Canyon Chemicals direct materials costs follows: Quantities of chemical Y purchased and used . . . . . 28,800 gallons Actual cost of chemical Y used . . . . . . . . . . . . . . ....
Through what primary avenue does the US Federal Government orchestrate fiscalpolicy?
26. A point object of mass m is connected to a cylinder of radius R via a massless rope. At time t = 0, the object is moving with an initial velocity vo perpendicular to the rope, the rope has a...
Explain why b x = e x ln b .
Explain how to find (f -1 )'(y 0 ), given that y 0 = f(x 0 ).
Show that the real solutions of the equation ax 2 + bx + c = 0 are the negatives of the real solutions of the equation ax 2 - bx + c = 0. Assume that b 2 4ac 0.
What are the different types of value propositions that a company may offer to its customers?
What two principal functions should a strategy fulfill?
What are the different ways in which a company can manage and improve its intangible assets?
What is a cost object? Give four examples of cost objects.
What are the two traditional cost management systems that have been used for product and service costing? What is the current practice in this regard?
Given the conditions of Problem 17.9, except that the outside temperature of the masonry brick cannot exceed 325 K, by how much must the thickness of kaolin be adjusted to satisfy this requirement?...
List four items of financial information you consider to be important to a manager of a business that has been operating for a year.
Use the given transformation to evaluate the integral. where R is the parallelogram with vertices (-1, 3), (1, -3), (3, -1), and (1, 5); x = 1/4 (u + v), y = 1/4(v - 3u) R (4x + 8y) dA,
Use the given transformation to evaluate the integral. where R is the region bounded by the ellipse 9x 2 + 4y 2 = 36; x = 2u, y = 3v SlRx dA, JJR
Use the given transformation to evaluate the integral. where R is the region bounded by the ellipse x 2 - xy + y 2 = 2; (x Sa Cx? - + ?) , y) dA, JJR x = /2 u V2/3 v, y = /2 u + 2/3 v
A large hospital required nurses to work 80 hours over two-week (14 day) pay periods. In addition, nurses were also considered to be "on-call" for an additional 20 hours during the pay period. While...
Describe the history of the HIPAA, explaining why it is essential. Consider the following questions in your response: Why is understanding the history of the HIPAA law essential in decision making...
"I'm not sure we should lay out $265,000 for that automated welding machine," said Jim Alder, president of the Superior Equipment Company. "That's a lot of money, and it would cost us $75,000 for...

Suppose the height s of an object (in m) above the ground after t seconds is approximated

Question:

Step by Step Answer:

a Let ft 49t 2 25t 1 b ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions