Where Does the Vector Come to Rest Given u and a?

[thunderflap]

Homework Statement

find the position (r) when the vector comes to rest.

Homework Equations

initially velocity = 'u', acceleration = a
u= -14i-7j
a= 6i+3j

The Attempt at a Solution

hey guys I am new at this so i didnt know how to post it but some help would be great :)
i tried solving it for when v=0 but i didnt know how, neither could i differentiate it :/

 

[thunderflap]

,sdf

 

[gneill]

Homework Statement

find the position (r) when the vector comes to rest.

Homework Equations

initially velocity = 'u', acceleration = a
u= -14i-7j
a= 6i+3j

The Attempt at a Solution

hey guys I am new at this so i didnt know how to post it but some help would be great :)
i tried solving it for when v=0 but i didnt know how, neither could i differentiate it :/

Hi thunderflap, Welcome to Physics Forums.

Were you given an initial position vector too?

What are the (calculus) relationships between position, velocity, and acceleration? If this had been a problem not using vectors and you were given separate x and y components for acceleration and initial velocity, what would your approach be? What kinematic formulas might you employ?