Consider the velocity function for an object moving along a line shown in the figure. 40- a. Describe the motion of the object over the interval [0,7]. b. Use geometry to find the displacement of the object between t= 0 and t= 2. c. Use geometry to find the displacement of the object between t = 2 and t = 6. d. Assuming that the velocity remains 20 m/s for t> 6, what is the displacement function between t = 0 and any time t>6? 30어 20어 10- 4 Time (s) a. Describe the motion of the object over the interval [0,7]. The object is V on the interval [0,1], on [1,4], on [4,6), and V on [6,7]. b. The displacement of the object between t= 0 and t= 2 is moving at a constant rate (Simplify your answer.) speeding up c. The displacement of the object between t= 2 and t= 6 is slowing down (Simplify your answer.) d The displacement function between t= 0 and any time t>6 is Velocity (m/s)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Consider the velocity function for an object moving along a line shown in the figure.
VA
40-
a. Describe the motion of the object over the interval [0,7].
b. Use geometry to find the displacement of the object between t= 0 and t= 2.
c. Use geometry to find the displacement of the object between t= 2 and t= 6.
d. Assuming that the velocity remains 20 m/s for t>6, what is the displacement function between t = 0 and any time t> 6?
30-
20-
10-
0-
6
8
t
Time (s)
a. Describe the motion of the object over the interval [0,7].
The object is
V on the interval [0,1],
V on [1,4],
V on [4,6], and
on [6,7].
b. The displacement of the object betweent= 0 and t = 2 is
moving at a constant rate
(Simplify your answer.)
speeding up
c. The displacement of the object between t= 2 and t = 6 is
slowing down
(Simplify your answer.)
d. The displacement function between t= 0 and any time t> 6 is
Velocity (m/s)
Transcribed Image Text:Consider the velocity function for an object moving along a line shown in the figure. VA 40- a. Describe the motion of the object over the interval [0,7]. b. Use geometry to find the displacement of the object between t= 0 and t= 2. c. Use geometry to find the displacement of the object between t= 2 and t= 6. d. Assuming that the velocity remains 20 m/s for t>6, what is the displacement function between t = 0 and any time t> 6? 30- 20- 10- 0- 6 8 t Time (s) a. Describe the motion of the object over the interval [0,7]. The object is V on the interval [0,1], V on [1,4], V on [4,6], and on [6,7]. b. The displacement of the object betweent= 0 and t = 2 is moving at a constant rate (Simplify your answer.) speeding up c. The displacement of the object between t= 2 and t = 6 is slowing down (Simplify your answer.) d. The displacement function between t= 0 and any time t> 6 is Velocity (m/s)
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