A small pebble is dropped from 10 meters directly above your head. The height of the pebble after t seconds is given by: h= -4.9t2 + Vot+ ho, where t is measured in seconds, h in meters, Vo is the initial velocity and ho is the initial height. Replace -4.9 with -16 when h is measured in feet. Write an equation that models this situation: Graph using an appropriate domain. 2 I -12 1.3 .1 .2 3 Given that your head is 2 meters above the ground. How long will it take the pebble to hit your head to the nearest four decimal places? Label this point P on the graph. Find the average speed of the pebble between the following time intervals. slope of line Pg Time Interval 0 to 1.2778 seconds 0.5 to 1.2778 seconds 1 to 1.2778 seconds 1.2 to 1.2778 seconds 1.25 to 1.2778 seconds 1.29 to 1.2778 seconds Approximately how fast is the pebble traveling when it hits your head? A
A small pebble is dropped from 10 meters directly above your head. The height of the pebble after t seconds is given by: h= -4.9t2 + Vot+ ho, where t is measured in seconds, h in meters, Vo is the initial velocity and ho is the initial height. Replace -4.9 with -16 when h is measured in feet. Write an equation that models this situation: Graph using an appropriate domain. 2 I -12 1.3 .1 .2 3 Given that your head is 2 meters above the ground. How long will it take the pebble to hit your head to the nearest four decimal places? Label this point P on the graph. Find the average speed of the pebble between the following time intervals. slope of line Pg Time Interval 0 to 1.2778 seconds 0.5 to 1.2778 seconds 1 to 1.2778 seconds 1.2 to 1.2778 seconds 1.25 to 1.2778 seconds 1.29 to 1.2778 seconds Approximately how fast is the pebble traveling when it hits your head? A
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...
Related questions
Question
100%
My question is: what equation will model a situation where a pebble is dropped from 10 meters directly above someone's head when the height of the pebble after "t" seconds is given by h=-4.9t^2+vt+h? Here is a picture of my assignment...

Transcribed Image Text:A small pebble is dropped from 10 meters directly above your head. The height of the pebble after t
seconds is given by:
h= -4.9t2 + Vot+ ho,
where t is measured in seconds, h in meters, Vo is the initial velocity and ho is the initial height.
Replace -4.9 with -16 when h is measured in feet.
Write an
equation that models this situation:
Graph using an appropriate domain.
2
I
-12 1.3
.1 .2 3
Given that your head is 2 meters above the ground. How long will it take the pebble to hit your
head to the nearest four decimal places? Label this point P on the graph.
Find the average speed of the pebble between the following time intervals.
slope of line Pg
Time Interval
0 to 1.2778 seconds
0.5 to 1.2778 seconds
1 to 1.2778 seconds
1.2 to 1.2778 seconds
1.25 to 1.2778 seconds
1.29 to 1.2778 seconds
Approximately how fast is the pebble traveling when it hits your head?
A
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 7 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning