What type of motion is occurring when the slope of a position vs. graph is constant? !

The type of motion occurring when the slope of a distance vs. time graph is changing is the object being moved at a constant rate of distance over time. The object had a positive or negative velocity (speed) during that duration of time, depending on the direction be traveled (toward/away).

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.