Grigori
0

Kinetic energy is a form of energy that an entity or particle possesses due to its motion.

The relation between the object's mass and its speed.

KE = \frac{1}{2} mv^2

The energy contained in an object due to its location is known as potential energy.

PE = mgh , where, m - mass,  g - acceleration due to gravity and h - height.

Law on energy conservation:

Energy can neither be created nor destroyed, but it can be converted from one form to another.

When the object is dropped we initially have only potential energy, which is later transformed to kinetic energy. So according to the law of conversion kinetic energy is equal to potential energy.

KE = PE


Step 1: Develop an equation for the object's velocity.

Given that:

Height of the ball h = 22 m

Acceleration due to gravity g = -9.8 m/s

We can set our initial potential energy equal to our final kinetic energy by using energy conservation.

KE = PE

\frac{1}{2} mv^2 = mgh

v^2 = 2gh

v = \sqrt{2gh}

Step 2: Finding the final velocity of the ball

v = \sqrt{2 * 9.8 * 22 }

v = 20.765   

Hence, final velocity of the ball v = 20.765   m/s