A soccer ball is kicked from the ground with an initial speed v at an upward ang

Question

A soccer ball is kicked from the ground with an initial speedv at an upward angle . A player a distanced away in the direction of the kick starts running towardsthe ball at that instant. What must be his average speed if he isto meet the ball just before it hits the ground? Give your answerin terms of g and the given variables (neglecting airresistance).
vavg=? A soccer ball is kicked from the ground with an initial speedv at an upward angle . A player a distanced away in the direction of the kick starts running towardsthe ball at that instant. What must be his average speed if he isto meet the ball just before it hits the ground? Give your answerin terms of g and the given variables (neglecting airresistance).
vavg=?

Explanation / Answer

Initial velocity in vertical direction = v sin time of flight T = 2v sin / g Horizontal distance S = d Horizontal velocity = v cos Horizontal range = ( v cos ) T Total distance travel S ' = d + (v cos ) T                                      =d + [ v^2 sin 2 / g ] Average velocity of the player V = S ' / T                                                   = { d + [ v^2 sin 2 / g ] } / [ 2v sin / g ]                                                   = { [ gd + v^2 sin 2 ] / g } / [ 2v sin / g ]                                                   = [ gd + v^2 sin 2 ] / 2v sin

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