Question

Discuss the motion of an object under free fall. Neglect the air resistance. Also plot the graphs of acceleration, velocity and distance with time.

Answer 1

acceleration time
as the acceleration remains constant throught out the motin hence 10 m per sec square

velocity time
slope=dV  represents acc which is const. hence slope are = o so straight line 
           -----
           dt
Distance time
slope=dx
           ----= velocity which can be 0 or positive

           dt

leaf area = da
                 -----= and its +10 so leaf area will be positive
                  dt 

Answer 2

see this attachment mate