APFIVE Properties of a Vector-Valued Function
I. For the vector-valued function $$p(t)=(2*t+1,3*t-2)$$, the velocity vector is $$v(t)=\langle2,3\rangle$$.
II. The speed, given by $$\sqrt{2^2+3^2}$$, is constant and equals $$\sqrt{13}$$.
III. The position at $$t=0$$ is $$p(0)=(1,-2)$$.
Which of these statements about the vector-valued function $$p(t)=(2*t+1,3*t-2)$$ are true?
A
Only statement II is true.
B
Only statements II and III are true.
C
Only statements I and III are true.
D
Statements I, II, and III are true.
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