Solving Acceleration Problem: Time & Distance Calculations

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To solve the problem of a marble rolling off a table 0.8 m high, the time it takes to reach the floor can be calculated using the equation y = yo + vo*t - 1/2*gt^2, where g is the acceleration due to gravity at 10 m/s². The marble's vertical motion is influenced by gravity, while its horizontal velocity remains constant at 2 m/s. The time to fall can be determined from the height and gravity, and then used to calculate the horizontal distance traveled. The discussion emphasizes the importance of separating vertical and horizontal motions in projectile problems. Understanding these principles is crucial for accurately solving time and distance calculations in physics.
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Homework Statement


The surface of a table is 0:8 m above the floor. A marble rolls o the edge of the
table. The acceleration due to gravity at the surface of the Earth is g = 10 m=s2.


Homework Equations


I am not sure about the equation, it was not given.


The Attempt at a Solution


a. How much time does the marble take to go from the edge of the table
to the floor?
b. The speed the marble rolls is 2 m=s. How far does the marble travel
horizontally, after it rolls o the table?
 
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Hi gztiger, welcome to PF1) y = yo + vo*t - 1/2*gt^2
2) Horizontal velocity does not change due to gravity.
 
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