Answer :

Given:


The initial horizontal velocity of the ball with respect to the fielder = vocosθ


The initial vertical velocity of the ball with respect to the fielder = vosinθ


The final horizontal velocity of the ball with respect to the spectator = vx = u + vocosθ


The final vertical velocity of the ball with respect to the spectator = vy = vosinθ



(a) The effective angle to the horizontal at which the ball is projected in air as seen by a spectator can be found as,


tanθ =



(b) Let t be the time of flight.


The displacement in y direction is 0.





(c) Let R be the horizontal displacement.




(d) For R to be maximum, should be equal to 0.







(e) When u = vo,





When, u << vo


We can assume,



u << vo, so we can say that


When, u >> vo


We can assume,



(f) When u = 0,


=45


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