A ball is thrown from a point with a speed ‘ v0’ at an elevation angle of  θ. From the same point and at the same instant, a person starts running with a constant speed v  ' '02  to catch the ball. Can the person catch it? If so, what is the angle of projection θ:

Yes, the person can catch the ball when horizontal velocity is equal to the Horizontal component of ball velocity, the motion of ball will be only in Vertical direction with respect to the person for that,  person velocity =horizontal component of the projected velocity of ball v02=v0cosθ 12=cosθ 12=cos600 θ=600