Suppose a vector is drawn at 3 cm long and represents an object traveling at 100 m/s. how fast would an object be traveling if the vector is drawn 6 cm long?

length of the vector is proportional to the magnitude of the vector

so length of vector will be in the proportional to the magnitude of the vector here

initial length of the vector is 3 cm which represent the velocity vector as 100 m/s

now it means 3 cm length is proportional to speed which is 100 m/s

now if we draw another vector of length 6 cm then here we can see that if length of vector is doubled then initial length

so here the magnitude of velocity will also be doubled

so here final speed must be double of initial speed

most of them using statistics and defining how things are being measured

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement