The question involves projectile motion observed from or launched within a non-inertial reference frame (e.g., an accelerating train) or requires optimizing launch from a moving platform.
The maximum range of a bullet fired from a toy pistol mounted on a car at rest is $R _ { 0 } = 40 \mathrm {~m}$. What will be the acute angle of inclination of the pistol for maximum range when the car is moving in the direction of firing with uniform velocity $\mathrm { v } = 20 \mathrm {~m} / \mathrm { s }$ on a horizontal surface? $\left( \mathrm { g } = 10 \mathrm {~m} / \mathrm { s } ^ { 2 } \right)$ (1) $30 ^ { \circ }$ (2) $60 ^ { \circ }$ (3) $75 ^ { \circ }$ (4) $45 ^ { \circ }$
A bomb is dropped by a fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb is a: (1) straight line vertically down the plane (2) parabola in a direction opposite to the motion of plane (3) parabola in the direction of motion of plane (4) hyperbola
The maximum speed of a boat in still water is $27\,\mathrm{km/h}$. Now this boat is moving downstream in a river flowing at $9\,\mathrm{km/h}$. A man in the boat throws a ball vertically upwards with speed of $10\,\mathrm{m/s}$. Range of the ball as observed by an observer at rest on the river bank, is \_\_\_\_ cm. (Take $g = 10\,\mathrm{m/s^2}$)