Physics · MOTION IN A PLANE

A particle starts from the origin at \( t = 0 \) with an initial velocity \( \vec{v}_0 = 5.0\hat{i}\text{ m/s} \) and moves in the xy-plane under a constant acceleration \( \vec{a} = (3.0\hat{i} + 2.0\hat{j})\text{ m/s}^2 \). What is the y-coordinate of the particle at the instant its x-coordinate is \( 84\text{ m} \)?

1. A
   36 m
2. B
   24 m
3. C
   48 m
4. D
   60 m