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). 22. v ( t ) = 1 t + 1 on [ 0 , 8 ] ; s ( 0 ) = − 4
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). 22. v ( t ) = 1 t + 1 on [ 0 , 8 ] ; s ( 0 ) = − 4
Solution Summary: The author explains the position function of an object by anti-derivative method and the fundamental theorem of calculus.
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).
22.
v
(
t
)
=
1
t
+
1
on
[
0
,
8
]
;
s
(
0
)
=
−
4
of acceleration at any time t of a particle whase given by x= ¢’ cost-y=e'sint. ) @Mww over the portion of the surface x* +y’ ~2ax =0 and o
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 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.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.