Final answer:
To determine the time and final velocity of a ball in free fall from a building, kinematic formulas for gravity and free fall motion are used. The height of the building and the acceleration due to gravity provide the necessary data to calculate both the time to fall and the final velocity of the ball.
Step-by-step explanation:
Free Fall of a Ball from a Building
When a ball is dropped from the top of a building, we need to use the principles of physics related to gravity and free fall motion to determine the time it takes to hit the ground and its final velocity. The formula to calculate the time taken (t) for an object to fall from a height (h) under the influence of gravity (g) is derived from the equation h = (1/2)gt^2. Using the given height of 200 meters and the acceleration due to gravity (approximately 9.81 m/s^2), the time of fall (t) can be calculated. To find the final velocity (v) right before the ball hits the ground, we use the formula v = g * t.
To solve for time (t) from a height of 200 meters:
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To solve for the final velocity (v):
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Final Results
The time it takes for the ball to hit the ground and its velocity right before impact can be determined through these calculations, resulting in a better understanding of kinematics and free fall motion.