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 $\mathrm{m} / \mathrm{s}$ at a launch angle of $30^{\circ} .$ Calculate its total flight time,
assuming that air resistance is negligible.
(A) o.5
(B) 1 $\mathrm{s}$
(C) 2 $\mathrm{s}$
(D) 4 $\mathrm{s}$

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Key Concepts

Projectile Motion

Projectile motion studies the motion of an object thrown into space, where the only acceleration acting on it is due to gravity. This motion is decomposed into independent horizontal and vertical components, allowing analysis using separate kinematic equations.

Decomposition of Velocity

When an object is launched at an angle, its initial velocity is split into horizontal and vertical components using trigonometric functions. The horizontal component affects the range of the projectile, while the vertical component determines the time of flight and maximum height.

Time of Flight

The total flight time of a projectile relies on the vertical motion. By using the kinematic equations for motion under constant gravitational acceleration, one can determine the time it takes for the projectile to ascend and then descend back to its original launch elevation.

Kinematic Equations

Kinematic equations describe motion under constant acceleration, providing relationships among displacement, velocity, acceleration, and time. These equations are fundamental when analyzing motions like projectile motion, where gravitational acceleration is constant.

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