ies for different sling shots. height of a stone after you sh seconds after it is shot. Exc

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)...
icon
Related questions
icon
Concept explainers
Topic Video
Question
The Scenario
Imagine a diver jumping off a spring board that is 10 feet above the water. The board throws the diver up with a upwards velocity of 9 feet per second. That means that if there
were no gravity, the diver would keep going up at the rate of 9 feet every second. Fortunately for the diver, there is gravity. Eventually, gravity over comes the force of the diving
board and the the diver begins to come down. So over all, the diver is thrown into the air fairly quickly. He slows down until he stops then begins to come back down (slowly at
first, then faster and faster until he hits the water).
The height of any object like the diver that is projected into the air can be modeled with the following function:
h(t) = -16t^2 + v*t + m
The Project
Pretend that you shoot a stone from a slingshot straight up above your head. Research on the internet about the speed or velocity produced by slingshot and decide on what the
initial velocity of your imagined slingshot will be. There will be different velocities for different sling shots. Just pick one. It doesn't matter which one you choose.
Create a presentation that describes mathematically what happens to the height of a stone after you shoot it into the air.
Include in your presentation a function that describes the height of the stone t seconds after it is shot. Explain what each part of the function represents in the scenario.
Include interesting facts and how you obtained them like: How long it will take for the stone to hit the ground? What is the highest height the stone reached and how long did it
take to get there?
Feel free to include tables, graphs or any other images to help make your points and illustrate your ideas.
Transcribed Image Text:The Scenario Imagine a diver jumping off a spring board that is 10 feet above the water. The board throws the diver up with a upwards velocity of 9 feet per second. That means that if there were no gravity, the diver would keep going up at the rate of 9 feet every second. Fortunately for the diver, there is gravity. Eventually, gravity over comes the force of the diving board and the the diver begins to come down. So over all, the diver is thrown into the air fairly quickly. He slows down until he stops then begins to come back down (slowly at first, then faster and faster until he hits the water). The height of any object like the diver that is projected into the air can be modeled with the following function: h(t) = -16t^2 + v*t + m The Project Pretend that you shoot a stone from a slingshot straight up above your head. Research on the internet about the speed or velocity produced by slingshot and decide on what the initial velocity of your imagined slingshot will be. There will be different velocities for different sling shots. Just pick one. It doesn't matter which one you choose. Create a presentation that describes mathematically what happens to the height of a stone after you shoot it into the air. Include in your presentation a function that describes the height of the stone t seconds after it is shot. Explain what each part of the function represents in the scenario. Include interesting facts and how you obtained them like: How long it will take for the stone to hit the ground? What is the highest height the stone reached and how long did it take to get there? Feel free to include tables, graphs or any other images to help make your points and illustrate your ideas.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

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.
Similar questions
  • SEE MORE QUESTIONS
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