Finding future x position with changing velocity

[heartshapedbox]

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 :(

 

[Ray Vickson]

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 v_x(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 v_x(0) and v_y(0) values, so you can work out v_x(t) and v_y(t). After that you can just go ahead and carry out the work in your equation.

 

[heartshapedbox]

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

 

[Ray Vickson]

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.

 

[heartshapedbox]

Yeah! I am unsure of how to use it.

 

[haruspex]

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.