ř=(−b₁t³+b₂t)i+c₁t²_c₂t+c3)Ĵ Assume that b₁,b2, C₁, C2, and C3 are positive constants. Which of the following statements must be true? a. The acceleration vector is constant. b. As time passes, the object's acceleration vector is directed in the 2nd quadrant. C. The object is initially at the origin. d. The object's initial velocity is directed in the 4th quadrant. e. V changes sign at the time t=b₂/b₁. X
ř=(−b₁t³+b₂t)i+c₁t²_c₂t+c3)Ĵ Assume that b₁,b2, C₁, C2, and C3 are positive constants. Which of the following statements must be true? a. The acceleration vector is constant. b. As time passes, the object's acceleration vector is directed in the 2nd quadrant. C. The object is initially at the origin. d. The object's initial velocity is directed in the 4th quadrant. e. V changes sign at the time t=b₂/b₁. X
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Transcribed Image Text:ř=(−b₁t³+b₂t)i+c₁t²_c₂t+c₂) j
Assume that b₁,b2, C₁, C2, and C3 are positive constants. Which of the following statements must
be true?
a. The acceleration vector is constant.
b. As time passes, the object's acceleration vector is directed in the 2nd quadrant.
C. The object is initially at the origin.
d. The object's initial velocity is directed in the 4th quadrant.
e.
V changes sign at the time t=b₂/b₁.
X
2
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We will answer this by question writing velocity, and acceleration as time derivatives of position vector. The detailed steps are as follows.
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