Kinematics - What do these variables mean?

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Homework Help Overview

The discussion revolves around understanding the variables in the kinematic equation used to analyze the motion of a body thrown vertically. The specific problem involves determining the initial velocity of the body given its displacement and the time taken to pass a certain height twice.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the interpretation of the kinematic equation and its variables. There is an attempt to set up a system of equations to find the initial velocity based on the given conditions. Questions arise regarding the correctness of the calculations and potential discrepancies with textbook answers.

Discussion Status

Some participants have provided clarifications on the kinematic equation, while others are exploring their calculations and questioning the accuracy of their results compared to the textbook. There is no explicit consensus on the correctness of the answers, but productive dialogue is occurring regarding the interpretation of the problem.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may impose specific methods or approaches to solving the problem. There is an ongoing discussion about the assumptions made in the calculations and the potential for differing interpretations of the problem setup.

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Homework Statement


first off, i don't completely understand what do the variables in the equation do:

x=Xo+volt+1/2at2

the exercise:
A body is thrown up vertically, it passes trough the height 9,8m twice. Time between those two passes is 4 seconds. Whats the starting velocity ?


Homework Equations





The Attempt at a Solution



i presume i have to do it with two equation systems? first off i'd have to calculate the starting velocity needed to get up and down in four seconds. Then i'd calculate the starting speed needed to get to the "seconds starting speed" at 9,8m and that would be the answer.

Bigthnx
 
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x=x_0 + v_0 t + \frac{1}{2} a t^2
x is displacement at time t
x_0 is initial displacement
v_0 is initial velocity
a is acceleration (constant)
t is time

hint: a=9.8 m/s^2 in this case
 
oh.. new to PF.. welcome :smile:
 
great thanks for explaining the equation for me (y) everything seems much clearer now.

So i tried to solve it, but the answer isn't what its supposed to be =/ I mean, it different in the end of the book. Is the book wrong or am i ?

9,8=0 + Vo4 - 1/2*9,8*4^{2}

4Vo = 1/2*9,8*4^{2} + 9,8

Vo= (1/2*9,8*4^{2} + 9,8) / 4 = 22,05 m/s

According to the textbook the answer should be 24 m/s

Thanks again
 

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