The relation between kinetic and potential energy

The potential energy is the energy accumulated in an object by its location.

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

The energy possessed by an object as a result of its motion is known as kinetic energy.

KE KE = \frac{1}{2} mv^2   Where, m-mass and v- velocity  

Energy cannot be destroyed, only converted from one form to another, according to the law of conservation of energy.

PE begins from 0 at the projection point and increases to a maximum value at a constant speed at maximum height.

KE begins at the projection point with a maximum value and decrease constantly to 0 at maximum height.

Total energy = PE + KE.

At the maximum height (when object dropped): PE = KE

Given that

Mass of an apple m = 0.1 kg

Height h = 1 m

Acceleration due to gravity g = 9.8 m/s^2   

Step 1: Set up an equation for the speed of the object

When an object is dropped, all of its potential energy transformed into kinetic energy.

PE = KE

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

v^2 = \frac{2mgh}{m}

v = \sqrt{2gh}

Step 2: Determining the speed of the object  

v = \sqrt{2* 9.8* 1}

v = \sqrt{19.6} = 4.42

v = 4.42   

Thus, the speed of the object v = 4.42 m/s