Spencer Heath Archive

Item 55

Penciling by Heath

No date

 

Additional material, charts & numbers, included in original.

     Any body moving with a uniformly accelerating motion has at any instant a total motion or distance from its starting point that is equal to one half of the square of its velocity at that instant.

 

If the velocity is one centimeter per second, the distance will be one-half centimeter, which is one-half of the square of one,  1² = 1.

 2

 

If the velocity is two centimeters per second, then the distance will be one-half of the square of two,  2² ₌ 2.

                       2

 

If the velocity is 3 then the distance will have been 3² = 4 ½,

2

and so on.

                                                                        

This is because during every second there has been a movement of ½ centimeter due to acceleration and also a certain number of whole centimeters due to the velocity that the body had at the beginning of each second. When these are all added together the total distance is found always to be one half the square of the velocity.