A boy kicks a football with an initial velocity of 20 m/s at an angle of 30 above the horizontal. What is the vertical component of it's velocity at the highest point of it's trajectory?

at the highest point, vertical velocity is zero.

10m/s

To find the vertical component of the velocity at the highest point of the trajectory, we need to calculate the vertical velocity component at that point.

Given:
Initial velocity (v0) = 20 m/s
Launch angle (θ) = 30 degrees

We can use the following trigonometric identity to determine the vertical component of velocity:

Vertical velocity (v_y) = v0 * sin(θ)

Let's calculate it step-by-step:

Step 1: Convert the angle from degrees to radians.
θ_radians = θ * (π/180)
θ_radians = 30 * (π/180)
θ_radians = π/6 radians

Step 2: Calculate the vertical velocity component.
v_y = v0 * sin(θ_radians)
v_y = 20 * sin(π/6)
v_y = 20 * 0.5
v_y = 10 m/s

Therefore, the vertical component of the velocity at the highest point of its trajectory is 10 m/s.

To find the vertical component of the velocity at the highest point of the football's trajectory, you first need to understand the concept of projectile motion and decompose the initial velocity into its horizontal and vertical components.

In projectile motion, the path of an object can be divided into vertical and horizontal components. The vertical component is influenced by gravity, while the horizontal component remains constant throughout the motion.

The initial velocity given for the football is 20 m/s at an angle of 30 degrees above the horizontal. To find the vertical component, you need to find the part of the initial velocity that points upward.

To calculate the vertical component of velocity, you can use trigonometry. The vertical component, denoted as Vy, can be found using the formula:

Vy = V_initial * sin(angle)

In this formula, V_initial is the magnitude of the initial velocity, and the angle is the angle between the initial velocity vector and the horizontal.

Plugging in the values:

Vy = 20 m/s * sin(30)

Now, solve for Vy:

Vy = 20 m/s * sin(30)
= 20 m/s * 0.5
= 10 m/s

Therefore, the vertical component of the football's velocity at the highest point of its trajectory is 10 m/s.