Homework Help is Here – Start Your Trial Now!
Science
Physics
An astronaut laying down shoots a golf ball from a slingshot. The golf ball has an initial velocity of 5.5m/s at an angle of 22.0 degrees just above the newly discovered planet's surface. The ball hits the planet 14m away from where it was launched, being launched and hitting the planet at roughly the same height. You will find ● 1. The amount of time the golf ball stays in the air The acceleration due to gravity on this planet Draw a diagram of the path of the golf ball, labeling all given variables in your diagram. 2. Draw the directions of the initial velocity and gravitational acceleration, and displacement vectors. 3. Take the three vectors from the previous problem and form them into a right triangle, changing the velocity vector into a displacement type of vector by multiplying the velocity by t and doing similarly with your acceleration vector by multiplying it by ½ t². Also label the 22.0 degree angle in your triangle. 4. Find an expression for cosine using this triangle. 5. Solve your cosine expression for time, plug in the values for your variables, and get an answer 6. Find an expression for the sine of your triangle (use the same triangle as before). 7. Solve your sine expression for your acceleration, and plug in time (from your answer to #5) and your other given variables.

An astronaut laying down shoots a golf ball from a slingshot. The golf ball has an initial velocity of 5.5m/s at an angle of 22.0 degrees just above the newly discovered planet's surface. The ball hits the planet 14m away from where it was launched, being launched and hitting the planet at roughly the same height. You will find ● 1. The amount of time the golf ball stays in the air The acceleration due to gravity on this planet Draw a diagram of the path of the golf ball, labeling all given variables in your diagram. 2. Draw the directions of the initial velocity and gravitational acceleration, and displacement vectors. 3. Take the three vectors from the previous problem and form them into a right triangle, changing the velocity vector into a displacement type of vector by multiplying the velocity by t and doing similarly with your acceleration vector by multiplying it by ½ t². Also label the 22.0 degree angle in your triangle. 4. Find an expression for cosine using this triangle. 5. Solve your cosine expression for time, plug in the values for your variables, and get an answer 6. Find an expression for the sine of your triangle (use the same triangle as before). 7. Solve your sine expression for your acceleration, and plug in time (from your answer to #5) and your other given variables.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%

Plz solve correctly all parts 

A: Consider the kinematic problem that follows, and then follow the steps below to solve the problem using vectors rather than plugging into kinematic equations. An astronaut laying down shoots a golf ball from a slingshot. The golf ball has an initial velocity of 5.5m/s at an angle of 22.0 degrees just above the newly discovered planet's surface. The ball hits the planet 14m away from where it was launched, being launched and hitting the planet at roughly the same height. You will find The amount of time the golf ball stays in the air ● The acceleration due to gravity on this planet ● 1. Draw a diagram of the path of the golf ball, labeling all given variables in your diagram. 2. Draw the directions of the initial velocity and gravitational acceleration, and displacement vectors. 3. Take the three vectors from the previous problem and form them into a right triangle, changing the velocity vector into a displacement type of vector by multiplying the velocity by t and doing similarly with your acceleration vector by multiplying it by ½ t². Also label the 22.0 degree angle in your triangle. 4. Find an expression for cosine using this triangle. 5. Solve your cosine expression for time, plug in the values for your variables, and get an answer 6. Find an expression for the sine of your triangle (use the same triangle as before). 7. Solve your sine expression for your acceleration, and plug in time (from your answer to #5) and your other given variables.
Transcribed Image Text:A: Consider the kinematic problem that follows, and then follow the steps below to solve the problem using vectors rather than plugging into kinematic equations. An astronaut laying down shoots a golf ball from a slingshot. The golf ball has an initial velocity of 5.5m/s at an angle of 22.0 degrees just above the newly discovered planet's surface. The ball hits the planet 14m away from where it was launched, being launched and hitting the planet at roughly the same height. You will find The amount of time the golf ball stays in the air ● The acceleration due to gravity on this planet ● 1. Draw a diagram of the path of the golf ball, labeling all given variables in your diagram. 2. Draw the directions of the initial velocity and gravitational acceleration, and displacement vectors. 3. Take the three vectors from the previous problem and form them into a right triangle, changing the velocity vector into a displacement type of vector by multiplying the velocity by t and doing similarly with your acceleration vector by multiplying it by ½ t². Also label the 22.0 degree angle in your triangle. 4. Find an expression for cosine using this triangle. 5. Solve your cosine expression for time, plug in the values for your variables, and get an answer 6. Find an expression for the sine of your triangle (use the same triangle as before). 7. Solve your sine expression for your acceleration, and plug in time (from your answer to #5) and your other given variables.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS