Make the given changes in the indicated examples of this section and then solve the resulting problems.
Question:
Make the given changes in the indicated examples of this section and then solve the resulting problems.
In Example 7, change 38 to 42 and then answer the questions.
Data from Example 7
Transcribed Image Text:
A projectile is fired vertically upward from the ground with a velocity of 38 m/s. Its distance above the ground is given by s = -4.9t² + 38t, where s is the distance (in m) and t is the time (in s). Graph the function, and from the graph determine (1) when the projectile will hit the ground, (2) how long it takes to reach 45 m above the ground, and (3) the maximum height of the projectile. 1. To find when the projectile hits the ground, we set the height s = 0 and then solve for t. This results in the equation -4.9t² + 38t = 0. Graphically, this is the x-intercept of the function y = -4.9t2 + 38t, which can be found using the zero feature on a calculator. The solution is t = 7.76 s as shown in Fig. 7.18(a). 2. To find when the projectile is 45 m above the ground, we can use the intersect feature to find the points of intersection between the given function and the hori- zontal line y = 45. There are two solutions: t = 1.46 s and t = 6.30 s. The first of these solutions is shown in Fig. 7.18(b). 3. The maximum height occurs at the vertex, which can be found using the maxi- mum feature on a calculator. From Fig. 7.18(c), we see that the maximum height is 73.7 m, which occurs after 3.88 s.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (10 reviews)
We are given that s 49t 2 42t 1 1 To calculate the time when ...View the full answer
Answered By
Gloria Joseph
Hi,
I am a tutor in Mathematics subject. I love learning and teaching too. I understand that each student is unique and hence I need to change myself - while communicating with each one of the students - so as to make the activity of learning a play thing, once and then for ever!
I believe in activity-based learning, with the help of tools/games/students participating in events- especially outdoor ones. I also believe in continuous learning and teaching to keep myself up to date!
Cheers!!
0.00
0 Reviews
10+ Question Solved
Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
Question Posted:
Students also viewed these Mathematics questions
-
Make the given changes in the indicated examples of this section and then solve the resulting problems. In Example 5, change (6x 8) to (8 6x) and then solve. Data from Example 5 Solve the equation...
-
Make the given changes in the indicated examples of this section and then solve the resulting problems. In Example 4, change 2t 7 to 7 2t and then solve. Data from Example 4 Solve the equation 2t ...
-
Make the given changes in the indicated examples of this section and then solve the resulting problems. In Example 4, change x to 2x in the second equation and then solve the system of equations....
-
You drive 1 2 miles on your way to college campus and it takes' you 2 5 minutes. Before you park your car, you realize that you forgot your wallet. You immediately return home via the same route of 1...
-
The marketing department of a college wanted to know whether there was a difference in the proportions of students drawn from inside and outside the college catchment area by program. A random sample...
-
Fill in the blanks in the following table: Total fixed Total variable cost Average fixed cost Average variable cost Average total cost Total Marginal Output cost cost cost 100 260 60 200 0.30 300...
-
How do you explain the fact that rates of return required by investors may be identical for two groups of totally different activities (oil and IT services for example) as long as they have the same .
-
Arrowhead School District No. 75 is located in Park County, south of Livingston, Montana, and consists of one school, Arrowhead School (School). For the 199798 school year, the School employed about...
-
The Simkins Corporation uses a job-order costing system. The following activities took place during the month of May: a.Raw materials purchased $40,000 b.Raw materials (all direct) used in production...
-
Make the given changes in the indicated examples of this section and then solve the resulting quadratic equations by completing the square. In Example 2, change the sign before 6x to +. Data from...
-
Determine each of the following as being either true or false. If it is false, explain why. The first steps in solving the equation 2x 2 + 4x 7 = 0 by completing the square is to divide 4 by 2,...
-
In order to complete this question, you will need to reference Amazons 2020 Annual Report. This can be found using your preferred search engine and going to Amazon's Investors Relations page, which...
-
ABC Company sells a variety of drink and food products including potato chips and sodas. The segmented income statements for these two products (profit centers) are as follows: total soda chip Sales...
-
Which basic assumption is illustrated on a firm reports financial results on an annual basis
-
a) Calculate the Expected Returns for Asset X & Y for each year. b) Calculate the overall Expectation Portfolio Return. c) Calculate the Standard Deviation of the Expected Portfolio Returns.
-
what extent does the use of decentralized organizational structures contribute to increased agility and responsiveness in dynamic markets, and what risks does it pose to maintaining organizational...
-
This week you will be discussing issues that can arise from gathering job analysis information from differing SME's (subject matter experts). As you know, job incumbents, supervisors, and other SME's...
-
Cool water at I5oC is throttled from 5(atm) to I (atm}, as in a kitchen faucet. What is the temperatures change of the water? What is the lost work per kilogram of water for this everyday household...
-
Assessing simultaneous changes in CVP relationships Braun Corporation sells hammocks; variable costs are $75 each, and the hammocks are sold for $125 each. Braun incurs $240,000 of fixed operating...
-
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed. What parameter is being tested? H 0 : = 4.2 H 1 : 4.2
-
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed. What parameter is being tested? H 0 : p = 0.76 H 1 : p > 0.76
-
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed. What parameter is being tested? H 0 : = 120 H 1 : < 120
-
The following financial statements were prepared at the end of the month of May:TOPS IN TOPIARY - INCOME STATEMENT FOR the month of MayRevenue$2, 540Expenses :Rent Expense$ 500Advertising Expense$...
-
Question content area top Part 1 ?________ consider proposed fixedminusasset ?outlays, research and development? activities, marketing and product development? actions, capital? structure, and major...
-
Samsung Inc. Stockholder's Equity Common Stock, $10 Par (Stated Value) $800,000Paid in Capital in Excess of Par (Stated Value) $125,000Retained Earnings XTreasury Stock, 20,000 shares $150,000Total...
Study smarter with the SolutionInn App