Calculating Total Time and Height of a Free-Falling Object

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AI Thread Summary
An object falls 0.48 of its total distance in the last second of its fall, prompting a discussion on how to calculate total time and height. Participants suggest using kinematic equations, emphasizing the importance of understanding displacement and initial conditions, particularly that the initial velocity is zero. The relationship between distances at T and T-1 is highlighted, with one participant indicating that s at T-1 is 0.52 times s at T. Suggestions include writing two equations to solve for total time and height, along with a reminder to revisit the problem after some rest. The conversation underscores the need for clarity in applying physics principles to solve the problem effectively.
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Homework Statement



an object falls .48 of the total distance in the last one second of its fall. determine total time and height from which it was dropped

Homework Equations



I have no idea. The kinematics, possibly?

The Attempt at a Solution


I have no idea where to begin. I've tried guess and check with the kinematic equations, to no avail. Please help.

thanks in advance
 
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hi thomasxc! :smile:

if the total time is T, apply the standard constant acceleration equations at t = T and t = T - 1 :wink:
 
I'm so rusty at all of this. This is on an intro for my physics class. I am totally lost. I don't have distance, initial or final velocities, only acceleration, T and T-1.
 
thomasxc said:
I don't have distance, initial or final velocities, only acceleration, T and T-1.

you do have the initial velocity, it's zero

you also know that s at time t = T-1 is 0.52 times s at time t = T
 
ok. so for displacement, T-1=(.52)t right?

Im lost as to how to set that up.
 
thomasxc said:
ok. so for displacement, T-1=(.52)t right?

noooo :redface:

get some sleep, read the question, and try again in the morning :zzz:
 
v=d/t, with that you'll have the velocity at t=1s... Does that help?
 
I just worked out your problem and you can use s=ut + (at^2)/2 at t=t and t=t-1.

just write 2 eqns and you'll figure out a way easily.
 
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