Suppose that, at time t, the position relative to the origin of a particle moving along a line is given by s (t) = v(x)dx , on what v:[0,9]¬R is the speed function, whose graph is illustrated below. Also consider that t is given in seconds, that s (t) is given in meters and that, for 0

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Suppose that, at time t, the position relative to the origin of a
particle moving along a line is given by s (t) = , v(x)dx , on
what v:[0,9]→R is the speed function, whose graph is
illustrated below. Also consider that t is given in seconds, that
s (t) is given in meters and that, for 0<t< 3, the graph of v
(t) is a line segment. From the graph of the speed function,
judge the following items.
Choose one or more:
(A) The particle travels less than 4 meters in the first 3
seconds
(B)At time t = 9 the particle position is positive
(c)The particle is moving away from the origin between times
t = 5 and t = 6
(D)At time t = 6 the particle is at the origin
Transcribed Image Text:Suppose that, at time t, the position relative to the origin of a particle moving along a line is given by s (t) = , v(x)dx , on what v:[0,9]→R is the speed function, whose graph is illustrated below. Also consider that t is given in seconds, that s (t) is given in meters and that, for 0<t< 3, the graph of v (t) is a line segment. From the graph of the speed function, judge the following items. Choose one or more: (A) The particle travels less than 4 meters in the first 3 seconds (B)At time t = 9 the particle position is positive (c)The particle is moving away from the origin between times t = 5 and t = 6 (D)At time t = 6 the particle is at the origin
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Transcribed Image Text:3 2 1 1 2 3 4 t 6 7 8 -1 -2
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