Assume the acceleration of the object is att)--9.8 meters per second. (Neçlect air resistance.) With what initial velocity must an object be thrown upward (from a height of 3 meters) to reach a maximurm height of 360 meters? Step 1 We want to find the initial velocity, v(0) of an object thrown upward such that the maximum of the height function t) is 360. We also assume the acceleration due to gravity is a(t) = -9.8 meters per second. First, we must find an equation for the velocity and height functions. Recall that the derivative of the velocity function is acceleration, or vtt) - a(t). This also means that v(t) is the antiderivative of the constant function a(t). Find v(). e+c The initial velocity is the velocity at time t= 0. Find the initial velocity by substituting O for t in the equation above. v(0) =

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
Section: Chapter Questions
Problem 27A: Write a CNC G-code program to machine the part in the following figure, so that the tip of the tool...
icon
Related questions
Question
Please answer this; all steps to the problem, show each answer clearly so I can see it, thank you!!!
Assume the acceleration of the object is att) --9.8 meters per second. (Neclect air resistance.)
With what initial veloaity must an object be thrown upward (from a height of 3 meters) to reach a maximurm height of 360 meters?
Step 1
We want to find the initial velocity, v(0) of an object thrown upward such that the maximum of the height function t) is 360. We also assume the acceleration due to gravity is a(t) - -9.8 meters per second.
First, we must find an equation for the velocity and height functions. Recall that the derivative of the velocity function is acceleration, or vtt) - a(t). This also means that v(t) is the antiderivative of the constant function a(t).
Find v().
])e + c
The initial velocity is the velocity at time t=0. Find the initial velocity by substituting 0 for t in the equation above.
v(0) =
Transcribed Image Text:Assume the acceleration of the object is att) --9.8 meters per second. (Neclect air resistance.) With what initial veloaity must an object be thrown upward (from a height of 3 meters) to reach a maximurm height of 360 meters? Step 1 We want to find the initial velocity, v(0) of an object thrown upward such that the maximum of the height function t) is 360. We also assume the acceleration due to gravity is a(t) - -9.8 meters per second. First, we must find an equation for the velocity and height functions. Recall that the derivative of the velocity function is acceleration, or vtt) - a(t). This also means that v(t) is the antiderivative of the constant function a(t). Find v(). ])e + c The initial velocity is the velocity at time t=0. Find the initial velocity by substituting 0 for t in the equation above. v(0) =
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax