Homework Help is Here – Start Your Trial Now!
Math
Calculus
Isolate 9.\ 2 5 = 22 gt² + vt gt² + avt ??? 25 = 25= 2 ut(+ +2 g = expected: -avt + $25 t²

Isolate 9.\ 2 5 = 22 gt² + vt gt² + avt ??? 25 = 25= 2 ut(+ +2 g = expected: -avt + $25 t²

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question

Can you help explain to me how the answer on the right is made?

### Solving for \( g \) in the Equation of Motion To isolate \( g \) in the equation of motion: \[ S = \frac{1}{2}gt^2 + vt \] **Steps:** 1. **Multiply both sides by 2:** \[ 2S = gt^2 + 2vt \] 2. **Rearrange to isolate \( g \):** \[ 2S - 2vt = gt^2 \] 3. **Solve for \( g \):** \[ g = \frac{2S - 2vt}{t^2} \] **Notes and Annotations:** - The original task was to "Isolate \( g \)" from the given equation. - The calculation involves algebraic manipulation by rearranging and solving for \( g \). - The incorrect form and approach have been crossed out. - The step-by-step rearrangement leads to the final expected formula: \[ g = \frac{2S - 2vt}{t^2} \] - A circled note with "???" suggests confusion or error in intermediate steps, which has been corrected.
Transcribed Image Text:### Solving for \( g \) in the Equation of Motion To isolate \( g \) in the equation of motion: \[ S = \frac{1}{2}gt^2 + vt \] **Steps:** 1. **Multiply both sides by 2:** \[ 2S = gt^2 + 2vt \] 2. **Rearrange to isolate \( g \):** \[ 2S - 2vt = gt^2 \] 3. **Solve for \( g \):** \[ g = \frac{2S - 2vt}{t^2} \] **Notes and Annotations:** - The original task was to "Isolate \( g \)" from the given equation. - The calculation involves algebraic manipulation by rearranging and solving for \( g \). - The incorrect form and approach have been crossed out. - The step-by-step rearrangement leads to the final expected formula: \[ g = \frac{2S - 2vt}{t^2} \] - A circled note with "???" suggests confusion or error in intermediate steps, which has been corrected.
Expert Solution
Step 1: Given:

space space space space space space space space space space space S equals 1 half g t squared plus nu t T o space f i n d colon space I s o l a t e space g.

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS