An attempt is made to establish a simple method of calculating stopping ability of ships as expressed by head reach. The deceleration of a ship is determined by means of one dimensional equation of motion, by abandoning the attempt to satisfy the equation for the rotating system of engine-propeller combination. Assumptions are made that total resistance R is proportional to the square of the velocity and the constant astern thrust T1 is instantaneously applied which is taken to be value at dead-in-the-water. The final equation of motion of ship can be expressed in the form
TsdV/ds+V=-Ksn12,
and head reach can be obtained as
S=Ts loge (1+ 1/Ks V0/n12)
Thus if Ts, which is essentially the hull characteristic, and Ks, which denotes the propeller characteristic, are given, the corresponding head reach can be easily calculated.