Force, Velocity & Position: Explained

[klm]

can someone explain to me the relationships between force and velocity and position. i have a question that shows a force vs time graph, and the force is a straight horizontal line below zero. so it is a straight horizontal line in the 4th quad, and i have to draw the position graph. but i do not understand the relationships. i know that is force is 0, then velocity is consant and that if force is a constant, above zero , then velocity will be increasing. so does that mean that if force is negative that velocity is decreasing? and that the position is an upside down parabola?

 

[Astronuc]

Force is related to acceleration by virtue of the mass of the object to which force is applied. F = ma

Acceleration (a) is the time rate of change of velocity (v), as in a = dv(t)/dt.

Force, acceleration and velocity are vectors. Mass is a scalar.

Momentum is mv, which is also a vector.

Velocity is the time rate of change of distance or position, x, as in v = dx(t)/dt.

See - http://hyperphysics.phy-astr.gsu.edu/hbase/mot.html

The vectors should be written like $$\vec{a}$$ and $$\vec{v}$$