To find the time it takes for a projectile to reach its maximum height, we can use the following formula:
t = V₀ * sin(θ) / g
where: t is the time taken, V₀ is the initial velocity of the projectile, θ is the launch angle, and g is the acceleration due to gravity.
In this case, the initial velocity is 11 m/s and the launch angle is 30°. The acceleration due to gravity is approximately 9.8 m/s².
Plugging in the values, we have:
t = 11 * sin(30°) / 9.8
Calculating this expression:
t = (11 * 0.5) / 9.8 t = 5.5 / 9.8 t ≈ 0.561 seconds
Therefore, it takes approximately 0.561 seconds for the projectile to reach its maximum height.