In Exercises 29-32, find the position function of an object given its acceleration and initial velocity and position. 29. ä(t) = (2,3); V(0)= (1,2), 7(0) = (5,-2)
In Exercises 29-32, find the position function of an object given its acceleration and initial velocity and position. 29. ä(t) = (2,3); V(0)= (1,2), 7(0) = (5,-2)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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11.3)question 29
![Sketch
men add
at 7(to),
an object is
t, and find
me indicated
B
26. 71(t)= (3 cos t, 3 sin t) on (0, 2×]; t。 = n/2
72 (s) = (3 cos(4s), 3 sin(4s)) on [0, π/2]; So = π/8
27.71 (t) = (3t, 2t) on [0, 2]; to = 2
72 (s) = (6s-6,4s — 4) on [1, 2]; so = 2
28. 7₁ (t) = (t, √t) on [0, 1]; to = 1
72 (s) = (sint, √sin t) on [0, π/2]; so = π/2
In Exercises 29-32, find the position function of an object
given its acceleration and initial velocity and position.
7(0) = (5,-2)
30. ä(t) = (2,3); V(1) =
(1,2), 7(1) = (5,-2)
31. ä(t)= (cost, -sin t); (0) = (0, 1), 7(0) = (0,0)
32. ā(t) = (0, –32); v(0) = (10, 50), 7(0) = (0, 0)
In Exercises 33-36, find the displacement, distance traveled,
average velocity and average speed of the described object
on the given interval.
29. ä(t) = (2,3); V(0) =
33. An object with position function 7(t) = (2 cos t, 2 sin t, 3t),
where distances are measured in feet and time is in sec-
onds, on [0, 2π].
D
(1,2),
W](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F400b9bd7-cb38-477d-bca9-0a4702f014e3%2F20aad7c8-fd49-493e-99d2-d9d4e3c6a09c%2Ffol28mj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Sketch
men add
at 7(to),
an object is
t, and find
me indicated
B
26. 71(t)= (3 cos t, 3 sin t) on (0, 2×]; t。 = n/2
72 (s) = (3 cos(4s), 3 sin(4s)) on [0, π/2]; So = π/8
27.71 (t) = (3t, 2t) on [0, 2]; to = 2
72 (s) = (6s-6,4s — 4) on [1, 2]; so = 2
28. 7₁ (t) = (t, √t) on [0, 1]; to = 1
72 (s) = (sint, √sin t) on [0, π/2]; so = π/2
In Exercises 29-32, find the position function of an object
given its acceleration and initial velocity and position.
7(0) = (5,-2)
30. ä(t) = (2,3); V(1) =
(1,2), 7(1) = (5,-2)
31. ä(t)= (cost, -sin t); (0) = (0, 1), 7(0) = (0,0)
32. ā(t) = (0, –32); v(0) = (10, 50), 7(0) = (0, 0)
In Exercises 33-36, find the displacement, distance traveled,
average velocity and average speed of the described object
on the given interval.
29. ä(t) = (2,3); V(0) =
33. An object with position function 7(t) = (2 cos t, 2 sin t, 3t),
where distances are measured in feet and time is in sec-
onds, on [0, 2π].
D
(1,2),
W
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