Consider the velocity function for an object moving along a line shown in the figure. a. Describe the motion of the object over the interval [0,8]. 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? a. Describe the motion of the object over the interval [0,8]. The object is on the interval [0,1], speeding up moving at a constant rate slowing down on [1,4], Velocity (m/s) 30- 20+ 10- on [4,6], and 6 8 Time (s) t Q Q ✔

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Consider the velocity function for an object moving along a line shown in the figure.
a. Describe the motion of the object over the interval [0,8].
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?
a. Describe the motion of the object over the interval [0,8].
The object is
on the interval [0,1],
speeding up
moving at a constant rate
slowing down
on [1,4],
Velocity (m/s)
30-
20+
10-
on [4,6], and
6 8 t
Time (s)
Q
U
Transcribed Image Text:Consider the velocity function for an object moving along a line shown in the figure. a. Describe the motion of the object over the interval [0,8]. 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? a. Describe the motion of the object over the interval [0,8]. The object is on the interval [0,1], speeding up moving at a constant rate slowing down on [1,4], Velocity (m/s) 30- 20+ 10- on [4,6], and 6 8 t Time (s) Q U
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