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Properties of a Vector-Valued Function

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Let the vector-valued function p(t)=(2t+1,3t2)p(t)=(2*t+1,3*t-2) represent the position of an object at time tt. Consider the following statements.

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

Which of the above statements is/are true?

A

Only statement II is true.

B

Only statements I and III are true.

C

Statements I, II, and III are true.

D

Only statements II and III are true.

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