A Soccer Ball's Initial Speed Calculation

A soccer ball is kicked with an initial horizontal velocity of 15 m/s and an initial vertical velocity of 15 m/s.

What is the initial speed of the ball?

The initial speed of the kicked soccer ball with an initial horizontal velocity of 15 m/s and an initial vertical velocity of 15 m/s is 21.21 m/s.

The initial speed of the ball can be calculated using the Pythagorean theorem. This theorem states that for a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the initial horizontal velocity and the initial vertical velocity are the two sides, and the initial speed is the hypotenuse.

So, using the Pythagorean theorem, we can calculate the initial speed as follows:

Initial speed = √(initial horizontal velocity² + initial vertical velocity²)

Initial speed = √(15 m/s² + 15 m/s²)

Initial speed = √(225 m²/s² + 225 m²/s²)

Initial speed = √(450 m²/s²)

Initial speed = 21.21 m/s

Therefore, the initial speed of the ball is 21.21 m/s.

1) What is the initial speed of the ball?

The initial speed of the kicked soccer ball with an initial horizontal velocity of 15 m/s and an initial vertical velocity of 15 m/s is 21.21 m/s.