How Long Before the Apple Core Hits the Ground?

AI Thread Summary
To determine how long it takes for the apple core to hit the ground, the initial velocity must be broken into x and y components, considering the launch angle of 35 degrees. The correct equation to use includes the initial height of 4 meters and the acceleration due to gravity. It's important to note that the final velocity is not zero at impact, and the sign for acceleration must be correctly applied. A common mistake is neglecting the initial vertical position in calculations. Understanding these factors is crucial for accurately solving the problem.
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Homework Statement


A child sitting in a tree throws an apple core from where he is perched (4 m high) with a velocity of 5 m/s [35 degrees above horizontal] and it hits the ground next to his friend.
How long before the core hits the ground?


Homework Equations


dy = vy(initial)t + 1/2at
quadratic eqn.

The Attempt at a Solution


Would I calculate the x-y components of the initial velocity then plug in the initial y velocity to the first aforementioned eqn then solve for t using the latter eqn?
 
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Don't mind that comment! read it too fast, I did not take angle into account, I thought he was throwing it straight down. Whoops! that's embarrassing, back to high school physics for me
 
Last edited:
Your first equation is wrong. You're forgetting the dy(initial) term.
Other than that, you're right.
 
Do not do what FaynmanIsCool wrote. The final velocity is not 0, he didn't account for the launch angle, and he has the wrong sign for a.
 
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