Final answer:
To find out how far from the building a ball will land after rolling off a 19.6 m high building, we can calculate the time of fall using the equation t = √(2h / g), and find that it is 2 seconds. Then, we can calculate the horizontal distance using the equation d = v * t, where d is the distance and v is the velocity. Given the velocity, we can determine how far from the building the ball will land.
Step-by-step explanation:
The problem involves the motion of a ball rolling off a building. To find out how far from the building the ball will land, we need to determine the time it takes to fall and the horizontal distance covered during that time.
First, we can calculate the time of fall using the equation:
t = √(2h / g)
where t is the time of fall, h is the height of the building, and g is the acceleration due to gravity. Assuming h = 19.6 m and g = 9.8 m/s², we find that t = 2 seconds.
Next, we can calculate the horizontal distance using the equation:
d = v * t
where d is the distance, v is the velocity, and t is the time. Assuming v = meters per second, we find that the ball will land meters from the building.
Learn more about motion of a ball rolling off a building