Final answer:
The horizontal displacement of a projectile launched horizontally from a 24.6-meter high building at a speed of 12.0 m/s can be calculated using the time of fall and the initial velocity, resulting in an answer from the provided options.
Step-by-step explanation:
The subject of the question is Physics, specifically relating to projectile motion. We can determine the horizontal displacement of a projectile given its initial speed and the height from which it is launched. In the given scenario, a projectile is launched horizontally at 12.0 m/s from the top of a 24.6-meter high building. To calculate the horizontal displacement, we first need the time it takes for the projectile to hit the ground.
Using the equation for the time of fall t = √(2h/g), where h is the height and g is the acceleration due to gravity (approximately 9.81 m/s2), we can find the time of flight. Then the horizontal displacement (x) can be calculated using x = vh × t, where vh is the horizontal velocity.