Q. 21
A force 
is exerted on a particle in addition to the force of gravity, where 
is the velocity of the particle and A is a constant vector in the horizontal direction. With what minimum speed a particle of mass m be projected so that it continues
to move undeflected with a constant velocity?
Answer :
Since we need equilibrium,
Velocity must be in direction perpendicular to plane in which gravity acts.
Thus, 
, θ is the angle between A vector and velocity of the particle.
∴ 
Now, for the velocity to be minimum, sin θ must be maximum,
and maximum value of sinθ=1
∴ minimum velocity of the particle 
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