Here are the essential concepts you must grasp in order to answer the question correctly.
Projectile Motion
Projectile motion refers to the motion of an object that is thrown or projected into the air, subject to the force of gravity. It can be analyzed in two dimensions: horizontal and vertical. The horizontal motion is uniform, while the vertical motion is influenced by gravitational acceleration. Understanding the initial velocity, launch angle, and the effects of gravity is crucial for predicting the trajectory and impact point of the projectile.
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Trigonometry in Physics
Trigonometry is essential in physics for analyzing angles and distances in various scenarios, particularly in projectile motion. In this context, the angle of the roof (24°) can be used to determine the horizontal and vertical components of the snow's initial velocity. By applying sine and cosine functions, one can calculate how far the snow travels horizontally before hitting the ground, given its height above the ground.
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Free Fall
Free fall describes the motion of an object falling solely under the influence of gravity, without any air resistance. In this scenario, once the snow chunk leaves the edge of the roof, it will accelerate downwards at approximately 9.81 m/s². The time it takes to hit the ground can be calculated using the height of the roof, allowing for the determination of how far it travels horizontally during that time.
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Vertical Motion & Free Fall