We can define the distance between two points in ways other than euclidean. The L[infinity]- distance between points p1 = (x1, y1) and p2 = (x2, y2) in the plane is given by max(|x1 − x2|, |y1−y2|). Modify the closest-pair algorithm seen in class to use the L[infinity]-distance. Justify your algorithm and analyze its running time. Also, write the recurrence for the running time T(n) of your algorithm.

that would be because of both gravity and friction. so     c

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.