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

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) 0.5 s
(B) 1 s
(C) 2 s
(D) 4 s

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Key Concepts

Decomposition of Velocity

The process of breaking down the initial velocity into horizontal and vertical components is crucial in analyzing projectile motion. The vertical component affects the time the object stays in the air, while the horizontal component determines the range, given that horizontal motion remains uniform when air resistance is negligible.

Projectile Motion

Projectile motion refers to the motion of an object that is launched into the air and is influenced by gravity. In the absence of air resistance, its path is parabolic, and the motion can be analyzed by separating it into horizontal and vertical components.

Time of Flight Calculation

Calculating the total flight time of a projectile involves focusing on the vertical motion. This is done by determining the time it takes for the upward velocity component to be reduced to zero by gravity and then doubling this duration to account for the symmetric descent under the influence of gravitational acceleration.

Gravitational Acceleration

Gravitational acceleration is the constant acceleration experienced by objects due to Earth's gravity, approximately 9.8 m/s². It directly influences the vertical motion of a projectile, dictating how quickly the object decelerates on the way up and accelerates on the way down.

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