A ball is dropped from the top of a building....

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A ball dropped from a building falls vertically, and air resistance is neglected. The problem requires determining the speed of the ball after it has fallen a distance of 2d, given its speed v after falling distance d. Participants discuss relevant equations for motion under constant acceleration, noting that acceleration may not always equal 9.8 m/s². There is confusion regarding the definitions of variables v1 and v2, as well as the concept of "university acceleration." The conversation emphasizes the need to clarify these terms and apply appropriate kinematic equations to solve the problem.
Peter Groppino
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Homework Statement


A ball is dropped from the top of a building and falls vertically downwards. Air resistance can be neglected. After falling a distance d, the speed of the ball is v. Determine the speed of the ball (in terms of v) when it has fallen a distance of 2d.

Homework Equations

The Attempt at a Solution


We tried to isolate for V2 and d and then substitute them into each other but that didn't work. Please help!
 
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You should show the relevant equations and what you did with them in your work.
 
FactChecker said:
You should show the relevant equations and what you did with them in your work.
I'm sorry but what's a relevant equation? a=9.8m/s2 and V1=0m/s and I'm not sure what to put for d and V2 which is what we are solving for. Not sure if that helps?
 
Can you identify what kind of problem this is, e.g., what concepts are relevant? What do you mean by "university acceleration" in the title? You're referring to ##d##, ##v_1##, and ##v_2##. The variable ##d## is defined in the problem statement, but we'd have to guess what you mean by ##v_1## and ##v_2##.
 
vela said:
Can you identify what kind of problem this is, e.g., what concepts are relevant? What do you mean by "university acceleration" in the title? You're referring to ##d##, ##v_1##, and ##v_2##. The variable ##d## is defined in the problem statement, but we'd have to guess what you mean by ##v_1## and ##v_2##.
Im sorry I am in grade 12 doing a "University" question. I just wrote down what the question asked me. I have no clue what to do. Sorry
 
Peter Groppino said:
Im sorry I am in grade 12 doing a "University" question. I just wrote down what the question asked me. I have no clue what to do. Sorry

Hint: Distance is the area under a graph of speed against time.
 
Peter Groppino said:
I'm sorry but what's a relevant equation? a=9.8m/s2 and V1=0m/s and I'm not sure what to put for d and V2 which is what we are solving for. Not sure if that helps?
We are given information on both the distance fallen and on the final velocity. From that information [and an assumption of constant acceleration] it is possible to write down an expression for the actual acceleration. That acceleration might not be 9.8 m/s2.

What are some equations that you know for motion under constant acceleration? Or for work, momentum and kinetic energy?
 

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