Use the position function s(t) = 4.9t 2 + v 0 t + s 0 for free-falling

Question:

Use the position function s(t) = −4.9t² + v₀t + s₀ for free-falling objects. A rock is dropped from the edge of a cliff that is 214 meters above water.

(a) Determine the position and velocity functions for the rock.

(b) Determine the average velocity on the interval [2, 5].

(d) Find the time required for the rock to reach the surface of the water.

(e) Find the velocity of the rock at impact.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

See More Books

Question Posted: Apr 14, 2023 12:40 AM

See More Questions

In Exercises use the position function s(t)= -16t + v o t + s o for free-falling objects. A ball is thrown straight down from the top of a 600-foot building with an initial velocity of -30 feet per...
A rock is dropped from rest into a well. The well is not really 16 seconds deep, as in Figure P2.70. (a) The sound of the splash is actually heard 2.40 s after the rock is released from rest. How far...
A rock is dropped from a bridge to the water below. It takes 2.40 s for the rock to hit the water. (a) Find the speed (in m/s) of the rock as it hits the water. (b) How high (in metres) is the bridge...
Solve the right triangles with the given parts or state that there is not enough information to solve. Round off results according to Table 4.1. Refer to Fig. 4.37. B = 32.1, c = 238 Data from Table...
Suppose a survey asks, Do you own any CDs? Explain how this could be interpreted in more than one way. Suggest a way in which the question could be improved.
Consider the following parlor game between two players. It begins when a referee flips a coin, notes whether it comes up heads or tails, and then shows this result to player 1 only. Player 1 may then...
Describe how trend analysis can provide insight on whether a firm's financial position is improving or deteriorating.
Wisconsin Wire (WW) has implemented a just-in-time inventory system for the production of its insulated wire. Inventories of raw material and work in process are so small that WW uses a Raw and...
Florida Kitchens produces high - end cooking ranges. The costs to manufacture and market the ranges at the company s volume of 3 , 0 0 0 units per quarter are shown in the following table: Unit...
In 1879, A.A. Michelson measured the velocity of light in air using a modification of a method proposed by the French physicist Foucault. Twenty of these measurements are in table 6E.27 (the value...
Find the second derivative of the function. f(x) = x cos x
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a function is differentiable at a point, then it is continuous at that...
Boris and Mihaela want to purchase a new home. Their combined income is $118 000, and they have saved enough for a down payment of $200 000 The couples debt payments include a car loan payment of...
A vertical spring on which is hung a block of mass $m_{1}$ oscillates with frequency $f$. With an additional block of mass $m_{2} eq m_{1}$ added to the spring, the frequency is $f / 2$. What...
Create a six-digit coding system which would allow you to classify all the items of expenditure you make in a year. ( You will need to write down the items of expenditure first of all and then look...
The following data are available for Allen Clapp Ltd. Net cash provided by operating activities is: a. HK$1,600,000. b. HK$2,200,000. c. HK$2,400,000. d. HK$2,800,000. Net income Depreciation expense...
Suppose that Terri and Sue are the only students campus at night. Draw a graph to show the margin social benefit of on-campus police at night. The table sets out the benefits that Terri and Sue...
The cash flow profile for an investment is given below, and the interest rate is 8 percent compounded annually. a. Find the present worth of this series using the actual cash flows. b. Find the...
Judy Whyte owns all of the common shares of Danube Manufacturing Ltd. Whyte purchased the shares 10 years ago directly from the corporate treasury at a cost of $50,000. The company regularly earns a...
Given that all the choices are true, which one concludes the paragraph with a precise and detailed description that relates to the main topic of the essay? A. NO CHANGE B. Decades, X-ray C. Decades...
Let '(t) < 0 for all t in the interval (2,8). Explain why (3) > (5).
In Exercises the graphs of , ', and " are shown on the same set of coordinate axes. Which is which? Explain your reasoning. -2 -2 y 2 X
In Exercises the graphs of , ', and " are shown on the same set of coordinate axes. Which is which? Explain your reasoning. -4 -2 4 y 1-4+ 2 4 X
As a precaution, the levers on gasoline pumps in many provinces in Canada must be manually operated at all times. One of the reasons for this is especially relevant in the winter time because the...
7. A transformer core is shown in cartoon form in Figure 8.26. This is made up of, perhaps implausibly, 29 gage M-36 laminations: the same sort of material described by Figures 8.19 and 8.20. Assume...
2. For a lamp that has a total luminous flux, of 4.5104 lm and total radiant flux, of 300 W, (a) what is the overall luminous efficiency, K for this lamp? (b) if this lamp has a luminous intensity of...

Use the position function s(t) = 4.9t 2 + v 0 t + s 0 for free-falling

Question:

Step by Step Answer:

a Using st 49t2 v0t s0 with v0 0 since the rock is dropped we get st 49t2 214 The position functi...View the full answer

Calculus Of A Single Variable

Students also viewed these Mathematics questions