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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

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
 

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
(a) The time of flight of the object in projectile motion is given as:
232-208_1.PNG
232-43_1.PNG
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:
232-663_1.PNG
(c) The horizontal component of the launch velocity is given as:
232-306_1.PNG

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