# Projectile Motion Fun Facts!

## How can we calculate the vertical component of the initial velocity of a ball in projectile motion?

During a lab experiment, if we read 65° from the protractor and the initial speed of the ball is 11.1 m/s, what will be the vertical component of the initial velocity of the ball?

## Calculating the Vertical Component of Initial Velocity in Projectile Motion

When dealing with projectile motion, it's essential to understand how to calculate the vertical component of the initial velocity of an object. In this specific scenario, where the initial speed of the ball is 11.1 m/s and the angle measured is 65°, we can determine the vertical component of the initial velocity by using trigonometric concepts.

Projectile motion involves the motion of an object in two dimensions under the influence of gravity. When a ball is launched at an angle, we can break down its initial velocity into horizontal and vertical components. The vertical component of the initial velocity is crucial in determining the object's trajectory.

To find the vertical component of the initial velocity, we can use the equation Vi = V * sin(θ), where Vi is the initial vertical velocity, V is the initial speed, and θ is the launch angle. In our case, with an initial speed of 11.1 m/s and an angle of 65°, we can substitute these values into the formula.

Vi = 11.1 m/s * sin(65°)

Calculating this equation gives us an approximate vertical component of the initial velocity of the ball, which is about 9.86 m/s. This value represents the rate at which the ball is moving vertically upwards when it is launched at an angle of 65° with an initial speed of 11.1 m/s.

Understanding how to calculate the vertical component of the initial velocity in projectile motion is essential for predicting and analyzing the motion of objects in various scenarios. By mastering these principles, we can unlock a world of fun and interesting facts about the behavior of projectiles!