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Properties of a Vector-Valued Function
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Let the vector-valued function $$p(t)=(2*t+1,3*t-2)$$ represent the position of an object at time $$t$$. Consider the following statements.

I. The velocity vector is $$v(t)=\langle2,3\rangle$$.
II. The speed is constant and equals $$\sqrt{13}$$.
III. At time $$t=0$$, the position of the object is $$(1,-2)$$.

Which of the above statements is/are true?

A

Only statements I and III are true.

B

Only statements II and III are true.

C

Statements I, II, and III are true.

D

Only statement II is true.

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