Final answer:
The question deals with the Physics of projectile motion, where an arrow is shot horizontally from a tall building. The problem can be solved by calculating the time of flight using the free-fall equation and then using that time to find the horizontal distance covered.
Step-by-step explanation:
The subject of the question is Physics, specifically the concept of projectile motion. An arrow is shot horizontally at a velocity of 145 m/s from a 405 m tall building. Since the arrow is shot horizontally, its vertical motion and horizontal motion can be analyzed separately. The vertical motion is affected by gravity, and we can use the equation for free fall d = 0.5 × g × t^2 where d is the distance fallen, g is the acceleration due to gravity (9.8 m/s^2), and t is the time. Solving for t gives us the time it takes for the arrow to hit the ground.
To determine how far away the arrow lands, we use the horizontal velocity (145 m/s) and the time calculated from the vertical motion. The horizontal distance can be found by the formula s = v × t, where s is the distance, v is the horizontal velocity, and t is the time for which the arrow is in flight.