A soccer ball, at rest on the ground, is kicked with an initial velocity of 10 m//s at a launch angle of 30^(@). Calculate its total flight time, assuming that air resistance is negligible.

A soccer ball, at rest on the ground, is kicked with an initial veloci

1.	A soccer ball, at rest on the ground, is kicked with an initial velocity of 10 m//s at a launch angle of 30^(@). Calculate its total flight time, assuming that air resistance is negligible.
Answer» 0.5 s 1s 1.7 s 2 s Solution :First, we determine the time required for the ball to reach the TOP of its parabolic trajectory (which is the time required for the vertical velocity to drop to zero). `v_(y) overset("set")=0 implies v_(0_(y))=GT = 0 implies t=(v_(0_(y)))/(g)` The total flight time is EQUAL to twice the following value : `T= 2t= 2(v_(0_(y)))/(g)=2(v_(0)sin theta_(0))/(g)=(2(10 m//s)sin 30^(@))/(10 m//s^(2))=1 s`

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A soccer ball, at rest on the ground, is kicked with an initial velocity of 10 m//s at a launch angle of 30^(@). Calculate its total flight time, assuming that air resistance is negligible.

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