You throw an object up in the air with initial velocity 20- 8 of the object is given by h(t) = -4.9t² + 20t+51 where t is in seconds and his in meters. Answer the following questions. Express all answers to two decimal places when necessary. Do not round until the end of each calculation. a.) Find the velocity: v(t) = -9.8t + 20 OS b.) Find the time at which the object reaches its maximum height: tmax c.) Find the maximum height: hmax= m from an initial height of 51m. The height d.) When the does the stone hit the ground? t Oº e.) With what velocity does the object hit the ground? v= m 2.04 m 4 f.) Over what interval is the speed of the object increasing? Express your answer in interval notation.
You throw an object up in the air with initial velocity 20- 8 of the object is given by h(t) = -4.9t² + 20t+51 where t is in seconds and his in meters. Answer the following questions. Express all answers to two decimal places when necessary. Do not round until the end of each calculation. a.) Find the velocity: v(t) = -9.8t + 20 OS b.) Find the time at which the object reaches its maximum height: tmax c.) Find the maximum height: hmax= m from an initial height of 51m. The height d.) When the does the stone hit the ground? t Oº e.) With what velocity does the object hit the ground? v= m 2.04 m 4 f.) Over what interval is the speed of the object increasing? Express your answer in interval notation.
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...
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Transcribed Image Text:ours
m
You throw an object up in the air with initial velocity 20-
from an initial height of 51m. The height
8
of the object is given by h(t) = -4.9t² + 20t + 51 where t is in seconds and his in meters.
Answer the following questions. Express all answers to two decimal places when necessary. Do not
round until the end of each calculation.
a.) Find the velocity: v(t)
-
S
-9.8t + 20
b.) Find the time at which the object reaches its maximum height: tmax
c.) Find the maximum height: hmax =
d.) When the does the stone hit the ground? t
O
e.) With what velocity does the object hit the ground? v=
m
2.04
S
m
S
4
f.) Over what interval is the speed of the object increasing? Express your answer in interval notation.
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