A)641J
B)741J
In Questions 5-13: A body of mass m = 2kg is initially at position, $r_0 = -\frac{gr^2}{3}(i + 2j)$ and moves with
an initial velocity, $v_0 = \frac{gt}{3}(-i + 2j)$ and an acceleration, $a = \frac{g}{3}(i + 2j)$ where $g = 10m/s^2$ and $t = 3s$
are two constant parameters having dimensions of acceleration and time respectively.
Question 5. Find the unit vector of the initial position vector. (Hint: unit vector of $\vec{A} = \frac{\vec{A}}{|\vec{A}|}$)
A) $\frac{2}{\sqrt{5}}(-i - 2j)$ B) $\frac{1}{\sqrt{5}}(i + 2j)$ C) $\frac{1}{\sqrt{5}}(i + j)$ D) $-\frac{(i + 2j)}{\sqrt{5}}$ E) $\frac{1}{\sqrt{5}}(2i + j)$
Question 6. Find the distance between the origin of the coordinate frame and the initial position of the
body.
A)150m B)60m C)30$\sqrt{5}$m D)60$\sqrt{2}$m E)300$\sqrt{3}$m
