Properties of a Vector-Valued Function
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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