A cricket fielder

Given:

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

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

The final horizontal velocity of the ball with respect to the spectator = v_x = u + v_ocosθ

The final vertical velocity of the ball with respect to the spectator = v_y = v_osinθ

(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