Time to Maximum Height of a Projectile

A projectile is launched from the ground at an angle of 30 degrees with an initial speed of 20 m/s. Assuming no air resistance, calculate the time it takes for the projectile to reach its maximum height.

Use the following kinematic principles: the vertical component of the initial velocity (v_0y) can be found using the sine function, and the acceleration due to gravity (g) is approximately 9.81 m/s².