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Q. A particle starts with initial velocity of $(2 \hat{ i }+\hat{ j })$ $m / s .$ Uniform acceleration $(-\hat{ i }+3 \hat{ j }) m / s ^{2} .$ What is $y$ component of velocity at the instant when $x$ component of velocity becomes zero?

Motion in a Plane

Solution:

At any instant 't'
$v_{x}=2-t$
$v_{y}=1+3 t$
when $v_{x}=0, t=2$
$v _{ y }=7 m / s$