Draw (i) position-time (ii) velocity-time and (iii) acceleration-time graph for the motion of an object under free fall.

Draw (i) position-time (ii) velocity-time and (iii) acceleration-time

1.	Draw (i) position-time (ii) velocity-time and (iii) acceleration-time graph for the motion of an object under free fall.
Answer» Solution :We assume the downward direction as the positive direction during this free fall. (i) As u =0 , the displacement at any time t is h = `(1)/(2)"GT"^(2) " ""or"" " t^(2) = (2)/(g)h`. So the position-time graph is a parabola PASSING through the origin [ LIKE `X^(2) = 4 ay` on a x-y graph]. (ii) Initial velocity u = 0 so at any time t the velocity is v =gt. Hence the velocity-time graph is a straight line of positive slope passing through the origin [ like y = mx on a xy -graph] (iii) Acceleration (a) = acceleration DUE to gravity (g) = constant and positive. So the acceleration-time graph is parallel with time axis.