Finding future x position with changing velocity

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Homework Help Overview

The discussion revolves around determining the future x-component position of a mass, specifically when it will be at 0 meters. The subject area includes concepts of kinematics and integration of velocity and acceleration.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants express uncertainty about how to start the calculation and the necessary equations to use. There is mention of needing to determine the x-component of velocity over time and how to relate it to acceleration.

Discussion Status

Some participants have provided guidance on the need for additional equations relating velocity to acceleration. There is an ongoing exploration of how to apply the given equations and what steps to take next, with no clear consensus yet.

Contextual Notes

Participants are working with an integral equation for position and are discussing the initial conditions for velocity and acceleration. There is a focus on the need for clarity regarding the relationships between these variables.

heartshapedbox
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Homework Statement


At what time in the future will the x-component of the masses position be at 0m?

Homework Equations


x=x,initial+(integral0,t)(v,xcomponent)(dt)

The Attempt at a Solution


The solution is 3.1 seconds... not really sure where to start :(
 

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heartshapedbox said:

Homework Statement


At what time in the future will the x-component of the masses position be at 0m?

Homework Equations


x=x,initial+(integral0,t)(v,xcomponent)(dt)

The Attempt at a Solution


The solution is 3.1 seconds... not really sure where to start :(

In order to carry out the calculation indicated in your equation above, you need to know the x-component of v at time t---which you can (and should) write as v_x(t), or vx(t), using the "x2"" button on the gray palette at the top of the input panel. You are given an expression for acceleration, and you are given enough information to work out the initial vx(0) and vy(0) values, so you can work out vx(t) and vy(t). After that you can just go ahead and carry out the work in your equation.
 
Thank you! i know how to get the initial x and y components at t=0. What equations should I be using to get the position 0 at the unknown time
 
heartshapedbox said:
Thank you! i know how to get the initial x and y components at t=0. What equations should I be using to get the position 0 at the unknown time

Well, YOU were the one that wrote down the necessary equation.
 
Yeah! I am unsure of how to use it.
 
heartshapedbox said:
Yeah! I am unsure of how to use it.
As Ray indicated in post #2 you first need another integral equation, one relating velocity to acceleration.
 

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