Questions 4-6: An object of mass $m_1$ is thrown vertically upwards and another object of mass $m_2$ is thrown with an angle of $\theta = 53^\circ$ at the same instant from the ground as shown in the figure. Both objects have the initial speeds $v_1 = 8 m/s$ and $v_2 = 5 m/s$, respectively.
4. What is the acceleration vector of $m_1$ relative to $m_2$ at $t = 0.5s$ in $m/s^2$?
(a) $-10\hat{j}$ (b) $-5\hat{j}$ (c) $5\hat{j}$ (d) $10\hat{j}$ (e) 0
5. What is the velocity of $m_1$ relative to $m_2$ at $t = 0.5s$ in units of $m/s$?
(a) $3\hat{i} - 2\hat{j}$ (b) $\hat{i} + \hat{j}$ (c) $-4\hat{i} + 3\hat{j}$ (d) $-3\hat{i} + 4\hat{j}$ (e) $\hat{i} - \hat{j}$
5. What is the distance between $m_1$ and $m_2$ at $t = 0.5s$ in m?
(a) $3\sqrt{10}/5$ (b) $4\sqrt{3}/3$ (c) $2\sqrt{7}$ (d) $5\sqrt{2}/2$ (e) $5/2$
