Displacement Revisited I was driving to a birthday party at my friend's house when I had the realization: I forgot the birthday gift. My velocity at t seconds after the realization is measured in meters per second and given by the function v(t) = 20 – 2t, where traveling towards my friend's Label Equation/Value Displacement on [0,10)] 100 Displacement on [10,20] -100 house is the positive direction. Let's pretend like we DON'T know the antiderivative, but we're still interested in finding the displacement on [0,10]. We can still use the derivative to help. Let's start with an easy question: Oh nol The gft Friend's House What is v(0)? (Enter only a number.) My house -10 5 10 15 20 -10 Graph of my velocity at time t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 50E
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Displacement Revisited
I was driving to a birthday party at my friend's house
when I had the realization: I forgot the birthday gift. My
velocity at t seconds after the realization is measured
in meters per second and given by the function
v(t) = 20 – 2t, where traveling towards my friend's
Label
Equation/Value
Displacement on [0,10]
100
Displacement on [10,20]
-100
house is the positive direction.
Let's pretend like we DON'T know the antiderivative,
but we're still interested in finding the displacement on
[0,10]. We can still use the derivative to help. Let's
start with an easy question:
Oh no! The gft!
Friend's House
What is v(0)? (Enter only a number.)
My house
-10
5
10
15
20
-10
Graph of my velocity at time t
Transcribed Image Text:Displacement Revisited I was driving to a birthday party at my friend's house when I had the realization: I forgot the birthday gift. My velocity at t seconds after the realization is measured in meters per second and given by the function v(t) = 20 – 2t, where traveling towards my friend's Label Equation/Value Displacement on [0,10] 100 Displacement on [10,20] -100 house is the positive direction. Let's pretend like we DON'T know the antiderivative, but we're still interested in finding the displacement on [0,10]. We can still use the derivative to help. Let's start with an easy question: Oh no! The gft! Friend's House What is v(0)? (Enter only a number.) My house -10 5 10 15 20 -10 Graph of my velocity at time t
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