The formula to calculate the Velocity (V) from Height (H) is:
\[ V = \sqrt{\frac{2H}{a}} \times a \]
Where:
Let's say the height (\( H \)) is 20 meters and the acceleration due to gravity (\( a \)) is 9.8 m/s². Using the formula:
\[ V = \sqrt{\frac{2 \times 20}{9.8}} \times 9.8 \approx 19.8 \text{ m/s} \]
So, the Velocity (\( V \)) is approximately 19.8 m/s.
Velocity is the speed of something in a given direction. In this context, it refers to the speed at which an object falls from a certain height under the influence of gravity.
Definition: Determines the height of a projectile based on its initial velocity and time in the air.
Formula: \( h = v_0 t + \frac{1}{2} a t^2 \)
Example: \( h = 10 \times 2 + \frac{1}{2} \times 9.8 \times 2^2 \)
Definition: Calculates the velocity of a projectile based on its height.
Formula: \( v = \sqrt{2gh} \)
Example: \( v = \sqrt{2 \times 9.8 \times 20} \)
Definition: Determines the maximum height reached by a projectile based on its initial velocity.
Formula: \( H = \frac{v_0^2 \sin^2(\theta)}{2g} \)
Example: \( H = \frac{30^2 \sin^2(45)}{2 \times 9.8} \)
Definition: Determines the velocity of an object based on its mass and height.
Formula: \( v = \sqrt{2gh} \)
Example: \( v = \sqrt{2 \times 9.8 \times 15} \)
Definition: Calculates the velocity of an object dropped from a certain height.
Formula: \( v = \sqrt{2gh} \)
Example: \( v = \sqrt{2 \times 9.8 \times 10} \)
