There is a point P that starts from the origin at time $t = 0$ and moves on a number line. For a real number $k$, the velocity $v ( t )$ of point P at time $t$ ($t \geq 0$) is $$v ( t ) = t ^ { 2 } - k t + 4$$ Which of the following in are correct? [4 points] ᄀ. If $k = 0$, then the position of point P at time $t = 1$ is $\frac { 13 } { 3 }$. ㄴ. If $k = 3$, then the direction of motion of point P changes once after departure. ㄷ. If $k = 5$, then the distance traveled by point P from time $t = 0$ to $t = 2$ is 3. (1) ᄀ (2) ᄀ, ᄂ (3) ᄀ, ᄃ (4) ㄴ, ㄱ (5) ᄀ, ᄂ, ᄃ
There is a point P that starts from the origin at time $t = 0$ and moves on a number line. For a real number $k$, the velocity $v ( t )$ of point P at time $t$ ($t \geq 0$) is
$$v ( t ) = t ^ { 2 } - k t + 4$$
Which of the following in <Remarks> are correct? [4 points]
<Remarks>\\
ᄀ. If $k = 0$, then the position of point P at time $t = 1$ is $\frac { 13 } { 3 }$.\\
ㄴ. If $k = 3$, then the direction of motion of point P changes once after departure.\\
ㄷ. If $k = 5$, then the distance traveled by point P from time $t = 0$ to $t = 2$ is 3.\\
(1) ᄀ\\
(2) ᄀ, ᄂ\\
(3) ᄀ, ᄃ\\
(4) ㄴ, ㄱ\\
(5) ᄀ, ᄂ, ᄃ