What time t does the particle first cross the x axis?

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SUMMARY

The particle described in the discussion has an initial position of ~r(0) = (4 m)j and an initial velocity of ~v(0) = (2 m/s)i, with a constant acceleration of ~a = −(2 m/s²)(i+j). To determine when the particle first crosses the x-axis, one must solve the equations of motion under constant acceleration. The first crossing occurs when the y-component of the position vector equals zero. Additionally, the time at which the particle moves parallel to the y-axis can be calculated by analyzing the velocity components.

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1.
(a) A particle has ~r(0) = (4 m)j and ~v(0) =
(2 m/s)i.
If its acceleration is constant and given by
~a = −(2 m/s2) (i+j), at what time t does the
particle first cross the x axis?
Answer in units of s.

(b) At what time t is the particle moving parallel to the y axis; that is, in the j direction
Answer in units of s




2.Some equation with a constant acceleration... not sure which one



3. I tired to draw it out but I don't know how... I don't understand how to start the problem
 
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Do you know what those i and j are?

ehild
 

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