Calculating the Initial Resultant Velocity of a Soccer Ball

You kick a soccer ball with an initial vertical velocity of 14 m/s and a horizontal velocity of 18 m/s. What is the initial resultant velocity of the soccer ball?

Answer: Explanation: When we have the initial vertical velocity and horizontal velocity of a soccer ball, we can calculate the initial resultant velocity using Pythagoras' theorem. The formula for Pythagoras' theorem is V = √((vertical velocity)^2 + (horizontal velocity)^2). Given: Initial vertical velocity (u) = 14 m/s Horizontal velocity (v) = 18 m/s Using the formula: V = √((14^2) + (18^2)) V = √(196 + 324) V = √520 V ≈ 22.8 m/s Final answer: The initial resultant velocity of the soccer ball is approximately 22.8 m/s. Explanation: The initial resultant velocity of a soccer ball can be calculated using Pythagoras' theorem as we are given the two component velocities. This theorem is used because the motion is in two dimensions - i.e., horizontal and vertical. The initial vertical velocity is 14 m/s and the horizontal velocity is 18 m/s. Therefore, using Pythagoras' theorem, the initial resultant velocity (V) would be the square root of the sum of the squares of these two values. V = √((14^2) + (18^2)) V = √(196 + 324) V = √520 Therefore, the initial resultant velocity of the soccer ball is approximately 22.8 m/s.

What formula is used to calculate the initial resultant velocity of a soccer ball when given the vertical and horizontal velocities?

The formula used to calculate the initial resultant velocity of a soccer ball when given the vertical and horizontal velocities is V = √((vertical velocity)^2 + (horizontal velocity)^2), based on Pythagoras' theorem.

← Making the most of composite materials in pipework Diffraction grating calculating spacing and angle →