![lakiprincess](/avatars/17962.jpg)
lakiprincess
16.07.2021 •
Mathematics
Evan tosses a ball from the roof of a building. The path of the ball can be modelled
by the following equations where h represents the height of the ball in meters and
t represents the time in seconds. Each equation below represents the EXACT same
path. Using the information you can obtain from these equations, answer the
following questions.
nu = -4(t + 1)(t-5)
h2 = -4/t - 2)2 + 36
hz = -4t? + 16 + 20
Draw a detailed SKETCH representing the path of the ball. Be sure to include titles
for your axes, appropriate scales, and critical points such as initial value, vertex and
roots of the parabola.
Solved
Show answers
More tips
- S Style and Beauty Ultimate Guide on How to Care for Suede Shoes...
- S Sport Running: How to Do It Right?...
- F Food and Cooking How to Cook Spaghetti Right – Secrets and Tips...
- P Philosophy Personal attitude towards Confession: how to prepare and undergo the procedure correctly?...
- H Health and Medicine Flu: How to Recognize It by the First Symptoms?...
- F Food and Cooking How to Sober Up Quickly? Important Facts and Tips...
- H Health and Medicine How to Properly Take a Blood Sugar Test?...
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
Answers on questions: Mathematics
- S Social Studies What were some economic problems faced by early american?...
- M Mathematics Find the slope of the line that passes through (5, 3) and (2, 5). Simplify your answer and write it as a proper fraction, improper fraction, or integer....
- M Mathematics Find the unit rate: 6 children from 2 families....
- H History What is the author’s purpose for writing the Newsela article 50 Below is Quite Cold, Even for Alaska ? to persuade the reader to have sympathy for Alaskans caught in the cold weather...
Ответ:
Please find attached sketch of the path of the ball, having plot area and plot points, created with MS Excel
Step-by-step explanation:
Question;
The equation representing the path of the ball obtained from a similar question posted online are;
h₁ = -4·(t + 1)·(t - 5), h₂ = -4·(t - 2)² + 36, h₃ = -4··t² + 16·t + 20
The above equations represent the same path
The equation, h₁ = -4·(t + 1)·(t - 5), gives the roots of the height function, h(t), used in determining the height of the ball after time t
At (t + 1) = 0 (t = -1) or at (t - 5) = 0 (t = 5), the ball is at ground level
The ball reaches the ground, is at ground level at t = 1, and at t = 5 seconds after being tossed, where h(t) = 0
The equation of the path of the ball in vertex form, y = a·(x - 2)² + k, is h₂ = -4·(t - 2)² + 36, where, by comparison, we have;
The vertex of the ball = The maximum height reached by the ball = (h, k) = (2, 36)
The coefficient of the quadratic term, t², is negative, therefore, the shape of the parabola is upside down, ∩, shape
The sketch of the path of the ball created with MS Excel, used in plotting the vertex, the initial value and the root points of the parabola, through which the ball passes and joining of the points with a 'smooth' curve is attached
Ответ:
————
x+2