Physics

Given:
Launch angle = 68.0°
Launch speed = 55 m/s

To find the horizontal displacement, we need to determine the time it takes for the projectile to reach its maximum height. We can use the equation:

t = Vy_max / g

where Vy_max is the vertical component of the initial velocity, and g is the acceleration due to gravity (approximately 9.8 m/s^2).

Using trigonometry, we can calculate the vertical component of the initial velocity:

Vy = V * sin(θ)

where v is the launch speed and theta is the launch angle.

Vy = 55 m/s * sin(68.0°) ≈ 50.77 m/s

Now we can calculate the time: