If a given function models an object's position, then: • the derivative of that function models its rate of change (aka. its velocity) • the derivative of that function's derivative models the rate of change of the rate of change (aka. its acceleration) Object 2 Looking at the graphs of Object 1 and Object 2, both have position graphs that are increasing, so both have positive velocities. However, one has positive acceleration and the other has negative acceleration. Complete the sentences below. Object 1 The object with positive acceleration is. I know this because. The object with negative acceleration is. I know this because. Time Submit Position

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section2.8: Average And Instantaneous Acceleration
Problem 2.7CE: Kinematics graphs are great for showing how a quantity depends on time. For example, an...
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Next up: position, velocity, acceleration
If a given function models an object's position, then:
• the derivative of that function models its rate of change
(aka. its velocity)
• the derivative of that function's derivative models the
rate of change of the rate of change (aka. its
acceleration)
Object 2
Looking at the graphs of Object 1 and Object 2, both
have position graphs that are increasing, so both have
positive velocities. However, one has positive
acceleration and the other has negative acceleration.
Complete the sentences below.
Object 1
The object with positive acceleration is.
I know this because.
The object with negative acceleration is.
I know this because.
Time
Submit
Position
Transcribed Image Text:Next up: position, velocity, acceleration If a given function models an object's position, then: • the derivative of that function models its rate of change (aka. its velocity) • the derivative of that function's derivative models the rate of change of the rate of change (aka. its acceleration) Object 2 Looking at the graphs of Object 1 and Object 2, both have position graphs that are increasing, so both have positive velocities. However, one has positive acceleration and the other has negative acceleration. Complete the sentences below. Object 1 The object with positive acceleration is. I know this because. The object with negative acceleration is. I know this because. Time Submit Position
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