The function v(t) = t³ - 81? + 15t, [0,7], is the velocity in m/sec of a particle moving along the x-axis. Complete parts (a) through (c). a. Determine when the motion is in the positive direction and when it is in the negative direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval. Determine when the motion is in the positive direction. Choose the correct answer below. O A. (3,5) U (5,7] О В. (5,7] Ос. (3,5) O D. (0,3) U (5,7] Determine when the motion is in the negative direction. Choose the correct answer below. O A. (3,5) U (5,7] O B. (0,3) U (5,7] OC. (5,7] D. (3,5)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 1E
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The function v(t) = t³ - 81? + 15t, [0,7], is the velocity in m/sec of a particle moving along the x-axis. Complete
parts (a) through (c).
a. Determine when the motion is in the positive direction and when it is in the negative direction.
b. Find the displacement over the given interval.
c. Find the distance traveled over the given interval.
...
Determine when the motion is in the positive direction. Choose the correct answer below.
O A. (3,5) U (5,7]
О В. (5,7]
ОС. (3,5)
O D. (0,3) U (5,7]
Determine when the motion is in the negative direction. Choose the correct answer below.
O A. (3,5) U (5,7]
O B. (0,3) U (5,7]
ОС. (5,7]
O D. (3,5)
Transcribed Image Text:The function v(t) = t³ - 81? + 15t, [0,7], is the velocity in m/sec of a particle moving along the x-axis. Complete parts (a) through (c). a. Determine when the motion is in the positive direction and when it is in the negative direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval. ... Determine when the motion is in the positive direction. Choose the correct answer below. O A. (3,5) U (5,7] О В. (5,7] ОС. (3,5) O D. (0,3) U (5,7] Determine when the motion is in the negative direction. Choose the correct answer below. O A. (3,5) U (5,7] O B. (0,3) U (5,7] ОС. (5,7] O D. (3,5)
b. Find the displacement over the given interval.
The displacement over the given interval is
(Simplify your answer.)
m.
c. Find the distance traveled over the given interval.
The distance traveled over the given interval is m.
(Simplify your answer.)
Transcribed Image Text:b. Find the displacement over the given interval. The displacement over the given interval is (Simplify your answer.) m. c. Find the distance traveled over the given interval. The distance traveled over the given interval is m. (Simplify your answer.)
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