An object on earth falls with an acceleration of a = 9.81 m/s². A function exists between the height from which the object falls, the initial velocity of the object, and the time the object spends in the air. h(t) = Vot + at² Vo = initial velocity %3D t = time a = acceleration due to gravity Lucy and Kim determine the height of a building by dropping a brick from its roof. The initial velocity will be 0m/s because Lucy will simply let go of the brick. Kim times the fall of the brick to be 3.5 seconds. a) What is the height of the building?

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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b) Determine the amount of time the brick is in the air if Lucy throws the brick downward with an initial
velocity of 5 m/s. Round to the nearest hundredth of a second.
Transcribed Image Text:b) Determine the amount of time the brick is in the air if Lucy throws the brick downward with an initial velocity of 5 m/s. Round to the nearest hundredth of a second.
An object on earth falls with an acceleration of a = 9.81 m/s². A function exists between the height from
%3D
which the object falls, the initial velocity of the object, and the time the object spends in the air.
h(t) = Vot + at²
Vo = initial velocity
%3D
%3D
t = time
a = acceleration due to gravity
Lucy and Kim determine the height of a building by dropping a brick from its roof. The initial velocity will be
0 m/s because Lucy will simply let go of the brick. Kim times the fall of the brick to be 3.5 seconds.
a) What is the height of the building?
Transcribed Image Text:An object on earth falls with an acceleration of a = 9.81 m/s². A function exists between the height from %3D which the object falls, the initial velocity of the object, and the time the object spends in the air. h(t) = Vot + at² Vo = initial velocity %3D %3D t = time a = acceleration due to gravity Lucy and Kim determine the height of a building by dropping a brick from its roof. The initial velocity will be 0 m/s because Lucy will simply let go of the brick. Kim times the fall of the brick to be 3.5 seconds. a) What is the height of the building?
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