Physics shows that when an object is thrown upward with an initial velocity of up, then its approximate height is given by this quad s=-4.9t² + vot + h A ball is thrown upward from the top of a building 15 meters high, at a velocity of 2.8m/sec. Answer the following questions. Be su a. Find the maximum height and the time in which it was attained (round to 3 decimal places) b. When does it reach the ground? (round to 3 decimal places) c. Sketch a graph to illustrate your answers.

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...
icon
Related questions
Question

Show and explain all work!!!!

## 1. Part 1 - Application

Physics shows that when an object is thrown upward with an initial velocity of \( v_0 \), then its approximate height is given by this quadratic function:

\[ s = -4.9t^2 + v_0t + h \]

A ball is thrown upward from the top of a building 15 meters high, at a velocity of 2.8 m/sec. Answer the following questions. Be sure to show and explain all work.

a. Find the maximum height and the time in which it was attained (round to 3 decimal places).

b. When does it reach the ground? (round to 3 decimal places).

c. Sketch a graph to illustrate your answers.
Transcribed Image Text:## 1. Part 1 - Application Physics shows that when an object is thrown upward with an initial velocity of \( v_0 \), then its approximate height is given by this quadratic function: \[ s = -4.9t^2 + v_0t + h \] A ball is thrown upward from the top of a building 15 meters high, at a velocity of 2.8 m/sec. Answer the following questions. Be sure to show and explain all work. a. Find the maximum height and the time in which it was attained (round to 3 decimal places). b. When does it reach the ground? (round to 3 decimal places). c. Sketch a graph to illustrate your answers.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 6 images

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