iran-konkur 2018 Q182

iran-konkur · Other · konkur-riazi_1397_specialized Projectiles Clearing an Obstacle or Passing Through a Point
182. Balls A and B are at distance $d$ from each other, and are simultaneously thrown horizontally from the ground surface. Ball A is thrown with speed $30\,\dfrac{\text{m}}{\text{s}}$ in the vertical direction, and ball B is thrown with speed $V_\circ$ at an angle of $45°$ to the horizontal. If both balls collide at a point, how many meters is $d$? (Neglect air resistance, $g = 10\,\dfrac{\text{m}}{\text{s}^2}$)
$$30 \quad (1) \qquad 45 \quad (2) \qquad 60 \quad (3) \qquad 90 \quad (4)$$
\textbf{182.} Balls A and B are at distance $d$ from each other, and are simultaneously thrown horizontally from the ground surface. Ball A is thrown with speed $30\,\dfrac{\text{m}}{\text{s}}$ in the vertical direction, and ball B is thrown with speed $V_\circ$ at an angle of $45°$ to the horizontal. If both balls collide at a point, how many meters is $d$? (Neglect air resistance, $g = 10\,\dfrac{\text{m}}{\text{s}^2}$)

$$30 \quad (1) \qquad 45 \quad (2) \qquad 60 \quad (3) \qquad 90 \quad (4)$$