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
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Chapter1: Functions And Models
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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...

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
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
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