Consider two projectiles A and B launched at angles 30^o and 60^o from the horizontal with equal initial speeds. All of the following statements are correct except A) the flight time of A is less than the flight time of B. B) the range of A is less than the range of B. C) the maximum height reached by A is less than the maximum height reached by B. D) the maximum vertical velocity component of A is less than the maximum vertical velocity component of B.

Question

Quizplus · Accepted Answer

The range of a projectile launched at an angle θ from the horizontal is given by the formula $R = \frac{v^2 \sin 2\theta}{g}$, where $v$ is the initial speed and $g$ is the acceleration due to gravity. For angles complementary to each other (such as 30° and 60°), the range is the same because $\sin 2\theta$ yields the same value (for example, $\sin 60° = \sin 120°$). Therefore, the statement that the range of A is less than the range of B is incorrect, as both have equal ranges.

Consider Two Projectiles a and B Launched at Angles 30o

Consider Two Projectiles a and B Launched at Angles 30^o