Help with finding distance if it's not 109-(-3)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 40CR: For T:P5P3 and nullity(T)=4, find rank(T).
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Help with finding distance if it's not 109-(-3)

Let s(t) = t-6+9t-3 for 0 <t <7 denote the position of an object moving along a line. Find
• The velocity at time t is 31^2-12t+9
The acceleration at timet is 6t-12
- Find the initial position
-3
and the ending position 109
Find the total distance traveled by the object 112
• Find where the velocity is positive [0,1)U(3,7]
Use interval notation.
Use interval notation.
•Find where the acceleration is positive (2,7]
If the answer includes more than one interval write the intervals separated by the "union" symbol, U. If needed enter oo as INF and 0o as -/NF.
Transcribed Image Text:Let s(t) = t-6+9t-3 for 0 <t <7 denote the position of an object moving along a line. Find • The velocity at time t is 31^2-12t+9 The acceleration at timet is 6t-12 - Find the initial position -3 and the ending position 109 Find the total distance traveled by the object 112 • Find where the velocity is positive [0,1)U(3,7] Use interval notation. Use interval notation. •Find where the acceleration is positive (2,7] If the answer includes more than one interval write the intervals separated by the "union" symbol, U. If needed enter oo as INF and 0o as -/NF.
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