To determine the vertical component of the velocity at a height of 50m, we can analyze the projectile motion of the particle. Given that the particle is projected at an elevation angle of 60° to the horizontal, we can break down the initial velocity into its horizontal and vertical components.
The vertical component of the initial velocity (Vy) can be calculated using the equation:
Vy = V * sin(θ)
where V is the magnitude of the initial velocity and θ is the elevation angle.
Given: V = 40 m/s (magnitude of initial velocity) θ = 60° (elevation angle)
Vy = 40 * sin(60°) Vy = 40 * 0.866 (approximately) Vy ≈ 34.64 m/s
Therefore, the vertical component of the velocity at a height of 50m is approximately 34.64 m/s.