Exciting Velocity Calculation for a Ball Kick!

Let's dive into the exciting world of physics with this velocity calculation scenario involving a child kicking a ball! The question posed is about finding the horizontal component of the initial velocity when the ball is kicked at an angle of 35 degrees.

The initial velocity of the ball is given as 8.5 m/s, and the angle of inclination with the horizontal is 35 degrees. To determine the horizontal component of the initial kick velocity, we need to use the formula Vx = V * cos(θ), where V is the initial velocity and θ is the angle of inclination.

Substituting the given values into the formula, we have V = 8.5 m/s and θ = 35 degrees. Plugging these values in, we get:

Vx = 8.5 m/s * cos(35°)

Calculating this, we find that the horizontal component of the initial velocity is approximately 6.97 m/s. The closest answer provided in the options is 7.0 m/s, which indicates that the correct horizontal component of the initial kick velocity of the ball is 7.0 m/s.

Understanding and solving such velocity calculation problems not only sharpen our mathematical skills but also give us a glimpse into the physics behind motion and forces. It's fascinating to see how different factors like angles and initial velocities play a crucial role in determining the trajectory of an object!