# A particle moves in the x-y plane with velocity #v_x#=#8t-2# and #v_y#=2.If it passes through the points #x=14# and #y#=4 at #t#=2,what is the equation of the path?

##### 1 Answer

Mar 18, 2018

#### Explanation:

Given

Substitute

Integrating:

Substitute

Substitute into equation [1]:

Substitute

Integrate:

Substitute

Substitute into equation [2]:

Solve equation [2.1] for t:

Substitute into equation [1.1]:

Simplify: