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Trajectories are shown in Fig. for three kicked footballs. Pick the trajectory for which (a) the time of flight is least, (b) the vertical velocity component at launch is greatest, (c) the horizontal velocity component at launch is greatest, and (d) the launch speed is least. Ignore air resistance

Shane Macguire

11 Years agoGrade upto college level

1 Answer

Navjyot Kalra

11 Years ago

(a) The time of flight of the object in projectile motion is given as:

It can be seen from this expression that the time of flight of object is dependent only on the maximum attainable height and the acceleration due to gravity.
If one assume g to be constant and the given condition that H is same for all the three projectiles, one can conclude that the time of flight will for all the three paths will be the same.
(b) The vertical component of launch velocity is given as:

(c) The horizontal component of the launch velocity is given as:

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