Answer :

Given:

The initial horizontal velocity of the ball with respect to the fielder = v_{o}cosθ

The initial vertical velocity of the ball with respect to the fielder = v_{o}sinθ

The final horizontal velocity of the ball with respect to the spectator = v_{x} = u + v_{o}cosθ

The final vertical velocity of the ball with respect to the spectator = v_{y} = v_{o}sinθ

(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 = v_{o},

When, u << v_{o}

We can assume,

u << v_{o,} so we can say that

When, u >> v_{o}

We can assume,

(f) When u = 0,

=45

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