for a object in free-fall what will the acceleration (cm/sec2) on the y axis versus time(sec) on the x axis graph look like?
When there is no frictional air resistance, the acceleration is constant: 9.8 meters per second per second. Air resistance causes a gradual reduction of the acceleration to zero. At that point, the "terminal velocity" is achieved.
what does a velocity - time graph look like for a free fall object?
A velocity-time graph for a free-falling object is a straight line sloping downward. Initially, the object starts from rest, so the velocity is zero at the beginning of the fall. As time passes, the velocity increases rapidly in a linear manner. The slope of the graph represents the acceleration of the object, and for a free-falling object, it would be a constant downward slope.
However, once the object reaches its terminal velocity due to air resistance, the acceleration becomes zero, resulting in a horizontal line on the velocity-time graph. This means that the object no longer accelerates and maintains a constant velocity throughout its fall.