The time of flight in projectile motion is the total duration for which a projectile remains in motion. It is an important parameter as it allows us to analyze and predict the motion of a projectile. The time of flight is determined by the vertical motion of the projectile.

To calculate the time of flight, we can use the equation:

t = 2 * (v * sin(theta)) / g

Here, t represents the time of flight, v is the magnitude of the initial velocity, theta is the launch angle, and g is the acceleration due to gravity. Notice that the time of flight is directly proportional to the initial velocity and the launch angle.

Let's consider an example. Suppose we launch a projectile with an initial velocity of 20 m/s and a launch angle of 30 degrees. We can plug these values into the equation to find the time of flight:

t = 2 * (20 * sin(30)) / 9.8 = 2.04 seconds.

This means that the projectile will remain in the air for approximately 2.04 seconds before landing.