Position from velocity Consider an object moving along a line with the given velocity v and initial position a. Determine the position function, for t ≥ 0, using the antiderivative method b. Determine the position function, for t ≥ 0, using the Fundamental Theorem of Calculus ( Theorem 6.1 ). Check for agreement with the answer to part (a). 21. v ( t ) = 9 − t 2 on [ 0 , 4 ] ; s ( 0 ) = − 2
Position from velocity Consider an object moving along a line with the given velocity v and initial position a. Determine the position function, for t ≥ 0, using the antiderivative method b. Determine the position function, for t ≥ 0, using the Fundamental Theorem of Calculus ( Theorem 6.1 ). Check for agreement with the answer to part (a). 21. v ( t ) = 9 − t 2 on [ 0 , 4 ] ; s ( 0 ) = − 2
Position from velocity Consider an object moving along a line with the given velocity v and initial position
a. Determine the position function, for t ≥ 0, using the antiderivative method
b. Determine the position function, for t ≥ 0, using the Fundamental Theorem of Calculus (Theorem 6.1). Check for agreement with the answer to part (a).
21.
v
(
t
)
=
9
−
t
2
on
[
0
,
4
]
;
s
(
0
)
=
−
2
Consider an object moving along a line with the following velocity and initial position.
v(t)=9−3t on [0,5];
s(0)=0
Determine the position function for t≥0 using both the antiderivative method and the Fundamental Theorem of Calculus. Check for agreement between the two methods.
Consider an object moving along a linewith the given velocity v and initial position.a. Determine the position function, for t ≥ 0, using the antiderivative methodb. Determine the position function, for t ≥ 0, using the Fundamental Theorem of Calculus . Check for agreement with the answer to part (a).v(t) = 6 - 2t on [0, 5]; s(0) = 0
Consider an object moving along a linewith the given velocity v and initial position.a. Determine the position function, for t ≥ 0, using the antiderivative methodb. Determine the position function, for t ≥ 0, using the Fundamental Theorem of Calculus (Theorem 6.1). Check for agreement with the answer to part (a).v(t) = -t3 + 3t2 - 2t on [0, 3]; s(0) = 4
Chapter 6 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Calculus: Early Transcendentals (3rd Edition)
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Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY